{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ludwig Visualization Demonstration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "from ludwig.api import LudwigModel\n",
    "from ludwig.datasets import mnist\n",
    "from ludwig.visualize import compare_performance,  compare_classifiers_performance_from_pred, \\\n",
    "    confusion_matrix\n",
    "from ludwig.utils.data_utils import load_json\n",
    "import pandas as pd\n",
    "import os\n",
    "import os.path\n",
    "import shutil\n",
    "\n",
    "shutil.rmtree('./viz2', ignore_errors=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prepare test data set for use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                          image_path label\n",
      "0  /opt/project/examples/mnist/data/mnist_png/tes...     0\n",
      "1  /opt/project/examples/mnist/data/mnist_png/tes...     0\n",
      "2  /opt/project/examples/mnist/data/mnist_png/tes...     0\n",
      "3  /opt/project/examples/mnist/data/mnist_png/tes...     0\n",
      "4  /opt/project/examples/mnist/data/mnist_png/tes...     0\n"
     ]
    }
   ],
   "source": [
    "# create test dataframe\n",
    "test_data = {'image_path': [], 'label': []}\n",
    "dataset = mnist.Mnist()\n",
    "test_dir = os.path.join(dataset.processed_dataset_path, 'testing')\n",
    "for label in os.listdir(test_dir):\n",
    "    files = os.listdir(os.path.join(test_dir, label))\n",
    "    test_data['image_path'] += [os.path.join(test_dir, label, f) for f in files]\n",
    "    test_data['label'] += len(files) * [label]\n",
    "\n",
    "# collect data into a data frame\n",
    "test_df = pd.DataFrame(test_data)\n",
    "print(test_df.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate predictions the test data set for the different neural network options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# get list of models to visualize results\n",
    "models_list = ['Option1', 'Option2', 'Option3']\n",
    "test_stats_list = []\n",
    "preds_list = []\n",
    "\n",
    "for m in models_list:\n",
    "    # retrieve a trained model\n",
    "    model = LudwigModel.load('./results/multiple_experiment_'+ m + '/model')\n",
    "\n",
    "    # make predictions\n",
    "    test_stats, pred_df, _ = model.evaluate(dataset=test_df, collect_predictions=True, collect_overall_stats=True)\n",
    "    \n",
    "    # collect test statsitics\n",
    "    preds_list.append(pred_df['label_predictions'].astype('int'))\n",
    "    test_stats_list.append(test_stats)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Show model performance on test data set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# overall model performance\n",
    "compare_performance(\n",
    "  test_stats_list,\n",
    "  'label',\n",
    "  model_names=models_list,\n",
    "  output_directory='./viz2',\n",
    "  file_format='png'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Classifiction performance metrics by model\n",
    "train_metadata_json = load_json('./results/multiple_experiment_Option1/model/training_set_metadata.json')\n",
    "compare_classifiers_performance_from_pred(\n",
    "  preds_list,\n",
    "  test_df['label'].to_numpy().astype('int'),\n",
    "  train_metadata_json,\n",
    "  'label',\n",
    "  10,\n",
    "  model_names=models_list,\n",
    "  output_directory='./viz2',\n",
    "  file_format='png'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6KQEBAfTo0UNKA6WQmWsZaJpGjRo1uH79Ounp6URFRbFu3Truu+8+Jk+ejJ+fX5l+2XQ6HXXq1MHHx4c5c+aQn59vmsH+/PPPJCcnWx1rSYLu1q0bw4YNY9euXTaZaYwdO5Zx48YBMGTIEK5du2bVSbPq1aublqYppfDy8qJu3br4+PiwYcMGFi9eTF5eXpnH7devH926dePgwYPk5eWxcOFCnnjiCTIyMqxeZ9yhQweCgoJISEjg8OHDVK9enf79+5Oens6ZM2esGrNly5ZMnTqVkydPcunSJQCaNWuG0WjkypUrVo0ZFhbG8uXLeeihh0zfCDp37sz169f5888/rRoTihN3SkoKq1evZtWqVTz33HOkpqayatUqq8esCmSdaxmdP3/e9FV49OjRPProozZpF1i/fn3mzJnDW2+9RVhYGEajkZUrV9ogYrjvvvv4/PPPGT16dLl2OVD/tfXM1q1bycjIMG22aC03Nzfc3Nxo3LgxixYtYu/evcTExFCrVq0yj+Xl5cWAAQPo16+f6R+Y+Pj4cvVycHd3p3///miaxscff8z58+epWbMmGRkZ5bqMuVu3bkRHR/Pee+/RpEkTAE6fPs2YMWOsHrNu3bp06tSJLVu2UKNGDfLz87l06VK5TprpdDr8/Pz44IMPmDlzJsHBwRw4cKDMs+sqx2HV3kosJydH5ebm3nSf0Wi0ydjLly9Xjz76qDpz5oxNxisRHR2tLl68aJOx8vPz1erVq1Xfvn1NJ1DKw2g0qvz8fNWrVy/VvXt3lZKSUv4g/yMuLk716dPHJj/P/Px8tX//fjVhwgQ1depU08m48vrpp5/UokWLVExMjE3izMrKUitWrFDDhw9XzzzzjPrll1/KPebly5fVjz/+aLpdcmJX3Jk0bnEiWVlZTJgwgalTp5o2KiwvZYeNDgsLC9m3bx/NmjXD39/fZuOuW7eOtm3bcu+999pszD///JOioiKbzrIMBgOapjl9V7OSMogtrwy0x++Tq5Lk6mSq8nYv8ocrXIkkVyGEsAPn/l4jhBCVlCRXIYTTy8/PJzs729FhlEmVXoqVlPgDmZfLfjWMEOJm9ZvUpVuvrnYb/1JyLLkFLbi/bWi5lhNWpCqdXDMvZ7F05ApHhyFEpffiipF2G/vGjRsUGb3QeX2LPnkXTQL/Ybf3siUpCwghnNrllGX4ea3Hp/YuruY9YvP2nPYiyVUI4bRKZq1e7r9QTSuiYZ1E9MmvOTosi0hyFUI4rZJZa4nKNHuV5CqEcEp/nbWWqEyzV0muQgin9N+z1hKVZfbqsOQaHBx8U2u1gwcP8vzzzwOY2vj9tZ1bv379TK3Z/vran376ieDgYE6fPl2B0Qsh7Ol2s9YSlWX2WqHJtaCgwOKO6H5+fnz00UelPufMmTNER0ezePFi7r//fnJycqQzuhAu4E6z1hKVYfZaIck1OTmZN998k7CwMC5cuGDRa3r06MG5c+c4f/78bR8/f/48L7zwAv/85z954IEHADh69ChhYWG89957XL582VbhCyEqUF5eHkVG79vOWktU04poUDvRtKWPM7Jbcs3NzWXt2rU8+eSTzJgxg4CAADZs2GDqkG42sGrVGD16NB9//PFtHx83bhwzZ86kQ4cOpvt69OjBqlWr8PLyYuzYsTz77LN89913Nt22WQhhXwUFBdSukWL2ebVrnic/P78CIrKO3a7QCgoKomXLlsybN4+AgACLXvPf7eb69evHhx9+yMWLF295bufOnYmLiyMoKOimy+F8fHyIiooiKiqK48eP89prr/HBBx/w7bfflu8DCSEqjEJhpPQSn8K5G/rZbea6ZMkSdDod48ePZ+nSpbfs4VOvXr2bGjFkZWXdsme9m5sbzzzzDJ988skt48+cOROAOXPm3PLYuXPn+Mc//sHUqVP5n//5H+bNm2eLjySEqCBKgUEZzR7OzG7JNSgoiMWLF/PVV1/h5eXFuHHjiIqKMp3x79ixIwkJCUBxZ/cNGzbQsWPHW8YZPHgw+/fvv2XTNk3TWLRoEefPn+fdd98Fijf1GzZsGDNmzMDf35/169czf/582rVrZ6+PKYSwAyNGijCUehjMzGwdze6NW+rXr8/IkSMZOXIkp06dMn2FHzduHLNnz2bAgAEopejatSsDBgy45fU1a9ZkxIgRzJ8//5bH3N3d+fDDD3nqqado2LAhnTp1IiYmxuIyhBDCORkBg5k+/kalwIk3rqjSOxEkfLFRumIJYQMvrhjJwBH9bDJWdnY26Zf/SUPv0v828wpakK997rS70FbploNCCOekAIOZE1ZGJz+hJclVCOF0jEpRaOaEVZEkVyGEKBsFZk9XGXHqkqskVyGE81Eoi8oCzrzhiyRXG9t6+YTNx+zdpL3NxxTCmRWvFjDzHAXVnXjqKslVCOF0jGgUmvnSb0CjRgXFYw1JrkIIp6MonpmWxtzjjibJVQjhdIqXYpU+c3Xu67MkuQohnJBBaaBKvzpfmXnc0SS5CiGcjkIzO3NVTr0QS5KrEMIJKTSMZvtKSXIVQogyKT6hZSZ5mnvcwZy7aFEOr776Kp07d6ZfP9s0kxBCVByD0ihQ1Us9ipz6EgIXTq5Dhgxh2bJljg5DCGGFkrJA6YfMXB3i4Ycfpm7duo4OQwhhhZITWqUdliTX232DvXr1KqNGjSI0NJRRo0aRlZVV/J5KMW/ePEJCQujfvz8///yz6TXr168nNDSU0NBQ1q+/8660f+WyyVUIUXkZ0ChU1Us9iixYinW7b7CxsbF07tyZbdu20blzZ2JjYwFISkriwoULbNu2jblz5zJ79mygOBkvXbqU1atXExcXx9KlS00JuTSSXIUQTqd45lrN7GHO7b7BJiYmMmjQIAAGDRrEjh07brpf0zTat29f3LQ7PZ09e/bQpUsX6tWrR926denSpQs//PCD2feW1QJCCKejlIbBzMy0mqpGcnIyEydONN0XGRlJZGRkqa/LyMjA19cXgEaNGpGRkQGAXq/Hz8/P9Dw/Pz/0ev0t9+t0OvR6vdnPIMlVCOF0LFnnakQjICCAdevWWf0+mqahafY5MeayZYFJkybxxBNPkJKSQrdu3YiLi3N0SEIICxmwYCmWlZe/NmjQgPT0dADS09Px8fEBimekaWlppuelpaWh0+luuV+v16PT6cy+j8sm17fffps9e/bw888/k5SUREREhKNDEkJYSCkNo6pm9rBGcHAw8fHxAMTHx9OrV6+b7ldKceLECby8vPD19SUoKIg9e/aQlZVFVlYWe/bsISgoyOz7SFlACOF0Sk5olcb85bHF32APHTpEZmYm3bp1Y/z48YwZM4YJEyawZs0amjRpwuLFiwHo3r07u3fvJiQkBA8PDxYsWABAvXr1GDduHEOHDgXghRdeoF69embfW5KrEMLpGNGKO2OVwmDBOG+//fZt71+x4tZtuzVNY9asWbd9/tChQ03J1VKSXIUQTseoNApV6enJzczjjubc0QkhqiRlwRVYTr4RgSRXW7PHZoKvJP9o8zEB/hnQ1vaD2mNZi3L2PyNhawrz61zNPe5oklyFEE7H+J/LX0tj7VKsiiLJVQjhdIw2Wi3gSJJchRBOp2Sda2msXedaUSS5CiGcjuz+KoQQdmCkmvmaq5PvRCDJVQjhdCwrCzj3TgSSXIUQTsdowVIsqbk6yPnz52/q83jx4kWio6OJiopyXFBCCIsoMHsRgbPvoeWyydXf35+EhAQADAYD3bp1IyQkxMFRCSEsYVQahcbSa6oGo8xcHW7//v00a9aMpk2bOjoUIYQFLOmKZck2L45UJZLrpk2bbtr9UQjh3IpPaFXu3gLOnfptoKCggJ07dxIWFuboUIQQFjJatPurLMVyqKSkJFq3bk3Dhg0dHYoQwkKWzFxlKZaDbdq0ifDwcEeHIYQoA0XlX+fq0mWB3Nxc9u3bR2hoqKNDEUKUgZHiy19LO2QplgPVrl2bgwcPOjoMIUQZKaWZranKagEhhCgjS3YikJmrEEKUkRHMblAoyVUIIcrIosYtUhYQQoiyUWhmt3Ex1+/V0SS5CiGcjkVXaNljM0wbkuRaCdhll1Yg+twZm4+5pMV9Nh9TVD0K8y0FpeYqhBBlZFSWlAWcu+bq3NEJIaqk4iu0zB+W+PzzzwkPD6dfv35MmjSJ/Px8Ll68SEREBCEhIUyYMIGCggKguBfJhAkTCAkJISIigkuXLln9GSS5CiGcjlKYTazKguSq1+tZuXIla9euZePGjRgMBjZt2sTChQuJiopi+/bteHt7s2bNGgDi4uLw9vZm+/btREVFsXDhQqs/gyRXIYTTsWjmauFYBoOBvLw8ioqKyMvLo1GjRhw4cIDevXsDMHjwYBITEwHYuXMngwcPBqB3797s378fpaxrbig1VyGE07Go5mrBHlo6nY5nnnmGnj174u7uTpcuXWjdujXe3t64uRWnPz8/P/R6PVA8023cuDEAbm5ueHl5kZmZiY+PT5k/gyRXIYTTKV4tYL7lYHJy8k175UVGRhIZGWm6nZWVRWJiIomJiXh5efHSSy/xww8/2Cvsm7hscs3Pz2f48OEUFBRgMBjo3bs30dHRjg5LCGGBkrJAqc9RGgEBAaxbt+6Oz9m3bx933XWXaeYZGhrKsWPHyM7OpqioCDc3N9LS0tDpdEDxTDc1NRU/Pz+KiorIycmhfv36Vn0Gl6251qxZkxUrVrBhwwbi4+P54YcfOHHihKPDEkJYwoITWkYLSqFNmjTh5MmT3LhxA6UU+/fvp0WLFnTs2JGtW7cCsH79eoKDgwEIDg5m/fr1AGzdupVOnTqhWXmxgsvOXDVNo06dOgAUFRVRVFRk9Q9JCFGxjEozu7urUTM/N2zXrh29e/dm8ODBuLm50apVKyIjI+nRowcTJ05k8eLFtGrVioiICACGDh3KlClTCAkJoW7durzzzjtWfwaXTa5QfJZwyJAh/PHHH/ztb3+jXbt2jg5JCGEBhfkrsCy9Qis6OvqWkmCzZs1My6/+yt3dnSVLllgcZ2lctiwAUL16dRISEti9ezenTp3i119/dXRIQggLWLIUy5J1ro7k0sm1hLe3Nx07dqyws4RCiPJR/ykLlH5IcnWIK1eukJ2dDUBeXh779u3D39/fwVEJISyiihNsqYc0bnGM9PR0pk2bhsFgQClFWFgYPXv2dHRYQggLWLoUy5m5bHK97777iI+Pd3QYQggrKFV8mHuOM7tjcn3wwQdNS5dKrq3VNA2lFJqmcezYsYqJUAhR5Sg0s5e3WtoVy1HumFyPHz9ekXEIIYSJpZe/OjOLTmgdOXKEtWvXAsUnii5evGjXoIQQVVtJWaDUw9FBmmE2uS5dupRly5YRGxsLQGFhIVOmTLF7YEKIqs3cagEq+8x1+/btfPjhh3h4eADFjQ2uX79u98CEEFWXK6xzNbtaoEaNGmiaZjq5lZuba/egxH+xU08Ee2wm+GryKZuPGRPwgM3HFM7NotUCFROK1cwm1z59+jBz5kyys7NZvXo1a9euZdiwYRURmxCiyrLg8lYnLwuYTa7PPvsse/fupU6dOqSkpBAdHU2XLl0qIjYhRBVVsodWaZx9tYBFFxEEBgaSl5eHpmkEBgbaOyYhRBWnLJi5OvsVWmZPaMXFxREREcH27dvZunUrkZGRt23VJYQQNqMsPJyY2ZnrsmXLWL9+vWmrg8zMTJ544gmGDh1q9+CEEFWX2ZlrZW/cUr9+fVNHf4A6depYvaeMEEJYQikNo5mlVsrSvbUd5I7Jdfny5QDcfffdDBs2jF69eqFpGomJibRs2bLCAhRCVFGuulqg5EKBu+++m7vvvtt0f69evewfVTmlpqbyyiuvkJGRgaZpDBs2jJEjRzo6LCGEpVy5K9aLL75YkXHYVPXq1Zk2bRqtW7fm2rVrPP7443Tp0oUWLVo4OjQhhKWcPHmaY7bmeuXKFT755BPOnTtHfn6+6f6VK1faNbDy8PX1xdfXFwBPT0/8/f3R6/WSXIWoJJTSUGZrrs5dFjC7FGvy5Mn4+/tz6dIlXnzxRZo2bUrbtm0rIjabuHTpEr/88ovs/CpEZWLJNi9OXnM1m1yvXr1KREQEbm5uPPLII8TExHDgwIGKiK3crl0WQkcAABE5SURBVF+/TnR0NK+99hqenp6ODkcIURauvs7Vza34Kb6+vuzatQtfX1+ysrLsHlh5FRYWEh0dTf/+/QkNDXV0OEKIslBYsBrAuWeuZpPr2LFjycnJYerUqcydO5fr16/z6quvVkRsVlNKMX36dPz9/Rk1apSjwxFCWMPczLSyz1xLdkz18vLiiy++sHtAtnD06FESEhIIDAxk4MCBAEyaNInu3bs7ODIhhGUsaIZdWZPr3LlzTT1cb2fGjBl2CcgWOnTowNmzZx0dhhDCSpb0c620ybVNmzYVGYcQQvwfBZhbamXhaoHs7GxmzJjBr7/+iqZpLFiwgHvuuYeJEyfy559/0rRpUxYvXkzdunVRSjF//nx2795NrVq1ePPNN2ndurVVH+GOyXXw4MFWDSiEEOWlAZqNZq7z58+na9euLFmyhIKCAvLy8vjoo4/o3LkzY8aMITY2ltjYWKZMmUJSUhIXLlxg27ZtnDx5ktmzZxMXF2fVZ7Bo91chhKhQNmo5mJOTw+HDh01d/GrWrIm3tzeJiYkMGjQIgEGDBrFjxw4A0/2aptG+fXuys7NJT0+36iNY1CxbCCEqliUntDSSk5OZOHGi6a7IyEgiIyNNty9duoSPjw+vvvoqZ86coXXr1kyfPp2MjAzTVZyNGjUiIyMDAL1ej5+fn+n1fn5+6PV603PLQpKrsCl7bCY45tfzNh8zNtDf5mMKG1KAuZaCCgICAli3bt0dn1JUVMTp06d5/fXXadeuHfPmzSM2Nvam5/x1A1ZbcsnVAkKISs6Sr/0WlAX8/Pzw8/MzXf4eFhZGbGwsDRo0ID09HV9fX9LT0/Hx8QFAp9ORlpZmen1aWho6nc6qjyCrBYQQzskG/VwbNWqEn58f58+fx9/fn/379xMQEEBAQADx8fGMGTOG+Ph4UyvV4OBgvvzyS8LDwzl58iReXl5WlQRAVgsIIZyRAs1MWcDsaoL/eP3115k8eTKFhYU0a9aMmJgYjEYjEyZMYM2aNTRp0oTFixcD0L17d3bv3k1ISAgeHh4sWLDA6o/gki0HhRCiRKtWrW5bl12xYsUt92maxqxZs2zyvi7fclAIUfmUrHM1dzgzl245KISopJRm2eHEXLbloBCiErNkKVZl3f21RGVsOQjF9ZS4uDiUUkRERBAVFeXokIQQZWDua79zz1tdtOXgr7/+SlxcHHFxcdSoUYPRo0fTs2dPmjdv7ujQhBCWsNE6V0cym1zvNEuNiYmxeTC2kpyczAMPPICHhwcADz/8MNu2beO5555zcGRCCIu5enLt0aOH6b/z8/PZsWOH1YtqK0pgYCCLFy8mMzOTWrVqkZSUJBdFCFGZKNDMtBw0tw7W0cwm1969e990u1+/fvztb3+zW0C2EBAQwOjRo3n22Wfx8PDgvvvuo1o1aQAmRKVRCTYgNKfMjVsuXLhg6iDjzCIiIoiIiADg7bfftvr6YCFExbNlP1dHMZtcH3zwwZsauDRq1IjJkyfbNShbyMjIoEGDBly+fJlt27axevVqR4ckhLCUJZe/VvaywPHjxysiDpsbP348V69exc3NjVmzZuHt7e3okIQQZeHqM9eRI0fecg3u7e5zNv/6178cHYIQwlquXHPNz8/nxo0bZGZmkpWVhfrPVozXrl1Dr9dXWIBCiKrHkpqrs/cWuGNyXbVqFStWrCA9PZ0hQ4aYkqunpydPPfVUhQUohKiCXPkigpEjRzJy5Ei++OILRowYUZExCSFEpZ+5ml38Wa1aNbKzs023s7Ky+Oqrr+walBCiirPR7q+OZPaE1urVqxk+fLjpdt26dYmLi7vpPmFnysl/i+zMHpsJPn32os3HXNmymc3HrNIq+a+92eRqNBpRSpnWuhoMBgoLC+0emBCi6tKqwjrXoKAgJkyYwBNPPAEUn+jq2rWr3QMTQlRtLn+F1pQpU/jmm2/4+uuvAXj00UcZNmyY3QMTQlRhlaCmao5FJ7SefPJJlixZwpIlS2jRogVz586tiNiEEFVUSVnA3OHMLGrccvr0aTZu3MiWLVto2rQpoaGh9o5LCFHVuWpZICUlhU2bNrFx40bq169P3759UUpVmt0IhBCVmCtfRNCnTx86dOjAxx9/bNoe5fPPP6+ouIQQVVxl30PrjjXXpUuX0qhRI55++mlmzJjB/v37TZfAVgZJSUn07t2bkJAQYmNjHR2OEKIMXLrm+thjj/HYY4+Rm5tLYmIiK1as4MqVK8yaNYuQkBCCgoIqMs4yMRgMvPHGGyxfvhydTsfQoUMJDg6mRYsWjg5NCGEJFygLmF0tULt2bfr3789HH33E7t27uf/++/nkk08qIjarnTp1iubNm9OsWTNq1qxJeHg4iYmJjg5LCFEWNrz81WAwMGjQIJ5//nkALl68SEREBCEhIUyYMIGCggIACgoKmDBhAiEhIURERHDp0iWrwy/TxlJ169YlMjLS6Xu56vV6/Pz8TLd1Op20SRSiktGUmaMMY61cuZKAgADT7YULFxIVFcX27dvx9vZmzZo1AMTFxeHt7c327duJiopi4cKFVscvu/YJIZyPucRahplrWloau3btYujQocVDK8WBAwdMm68OHjzY9M12586dDB48GCjenLU855pcMrnqdDrS0tJMt/V6vWxQKERlY6OywIIFC5gyZYppB+jMzEy8vb1xcys+5eTn52f6ZqvX62ncuDEAbm5ueHl5kZmZaVX4Lplc27Zty4ULF7h48SIFBQVs2rSJ4OBgR4clhLCUhS0Hk5OTGTJkiOn45ptvbhrm+++/x8fHhzZt2lRs/FixtXZl4ObmxsyZMxk9ejQGg4HHH3+ce++919FhCSEsZFFXLAUBAQGsW7fujs85duwYO3fuJCkpifz8fK5du8b8+fPJzs6mqKgINzc30tLSTN9sdTodqamp+Pn5UVRURE5ODvXr17fqM7hkcgXo3r073bt3d3QYQggr2WIngpdffpmXX34ZgIMHD/LZZ5+xaNEioqOj2bp1K+Hh4axfv970zTY4OJj169fz4IMPsnXrVjp16mRqt1pWLlkWEEJUcnbeiWDKlCksX76ckJAQrl69SkREBABDhw7l6tWrhISEsHz5ciZPnmz1e7jszFUIUXnZY/fXjh070rFjRwCaNWtmWn71V+7u7ixZsqRsA9+BJFchhPNRgLnLW538Ci1JrkIIp+TyOxEI4YpW3ne3zcfs87N16yHN+a51PbuM69RcoLeAJFchhNMpXopVevYsa821oklyFUI4JVuf0KpoklyFEM5HygJCCGF79liKVdEkuQohnI+Fl786M0muQgjnI2UBIYSwPUvKAs6eXF22t0B2djbR0dGEhYXRp08fjh8/7uiQhBAWU6AsOJyYy85c58+fT9euXVmyZAkFBQXk5eU5OiQhhKVcoObqkjPXnJwcDh8+bNrWoWbNmnh7ezs4KiGExVxga22XTK6XLl3Cx8eHV199lUGDBjF9+nRyc3MdHZYQwlJ2bjlYEVwyuRYVFXH69GmefPJJ4uPj8fDwIDY21tFhCSEsVHL5a6mHk9dcXTK5+vn54efnR7t27QAICwvj9OnTDo5KCFEWZrfWdu7c6prJtVGjRvj5+XH+/HkA9u/ff9Oe5UIIJ+cCZQGXXS3w+uuvM3nyZAoLC2nWrBkxMTGODkkIYSFXWOfqssm1VatWpe4KKYRwYkpZ0HLQubOryyZXIUQlJzNXIYSwLUtOWDn7CS1JrkII56MAM2UBs487mCRXIYTzcYHLXyW5CiGckAWNWSS5CqelabYf0x5ncO0Rpx3Ya5fWAaczbD7mhvsb2HxMW5KaqxBC2IMFu79Ky0EhhLCGua5X0hVLCCHKprgsoMwe5qSmpjJixAj69u1LeHg4K1asAODq1auMGjWK0NBQRo0aRVZWFgBKKebNm0dISAj9+/fn559/tvozSHIVQjgnG/QVqF69OtOmTWPz5s188803/Otf/+LcuXPExsbSuXNntm3bRufOnU1d85KSkrhw4QLbtm1j7ty5zJ492+rwJbkKIZyPMtNu0Gj+8lgAX19fWrduDYCnpyf+/v7o9XoSExMZNGgQAIMGDWLHjh0Apvs1TaN9+/ZkZ2eTnp5u1UeQmqsQwvkoLFiKpUhOTmbixImmuyIjI4mMjLzt0y9dusQvv/xCu3btyMjIwNfXFyjuopeRUbwiQ6/X4+fnZ3qNn58fer3e9NyycNnk+vnnnxMXF4emaQQGBhITE4O7u7ujwxJCWMLCiwgCAgIsatB0/fp1oqOjee211/D09Lx5HE1Ds8NyP5csC+j1elauXMnatWvZuHEjBoOBTZs2OTosIYTFLNn91bKRCgsLiY6Opn///oSGhgLQoEED09f99PR0fHx8ANDpdKSlpZlem5aWhk6ns+oTuGRyBTAYDOTl5VFUVEReXp5V03ohhGNYtM2LBTVXpRTTp0/H39+fUaNGme4PDg4mPj4egPj4eHr16nXT/UopTpw4gZeXl9W5wyXLAjqdjmeeeYaePXvi7u5Oly5dCAoKcnRYQgiLWXL5q/nkevToURISEggMDGTgwIEATJo0iTFjxjBhwgTWrFlDkyZNWLx4MQDdu3dn9+7dhISE4OHhwYIFC6z+BC6ZXLOyskhMTCQxMREvLy9eeuklEhISTD9cIYSTU5i/SMCCskCHDh04e/bsbR8rWfP6V5qmMWvWLPMDW8AlywL79u3jrrvuwsfHhxo1ahAaGsrx48cdHZYQwlJKoRmNpR4YnfsSLZdMrk2aNOHkyZPcuHEDpZRsUChEZVOyFMsGJ7QcxSXLAu3ataN3794MHjwYNzc3WrVqdce1b0IIJ2SjsoAjuWRyBYiOjiY6OtrRYQghrKBhvneAbFAohBBlpTBfU1XOXXOV5CqEcEKyE4EQQtieJTVX5564SnIVQjghZb6mKjVXIYQoK6XAYGZq6uTrXCW5VmVO/i+/iWaH5dhGg+3HtBN7bCY4/Mwlm47nc73QpuOZ1rKae44Tk+QqhHBOckJLCCFsTMoCQghhB0qZX8cq61yFEMIKUhYQQggbUwrMNcOWE1pCCFFGSpmvqTp5zdUlWw6WMBgMDBo0iOeff97RoQghysKiloPOPXN16eS6cuVK6eMqRGVUMnMt7ZDk6hhpaWns2rWLoUOHOjoUIUSZWbL7q3MnV5etuS5YsIApU6Zw/fp1R4cihCgrF1jn6pIz1++//x4fHx/atGnj6FCEENZQoJTRzCEz1wp37Ngxdu7cSVJSEvn5+Vy7do3JkyezcOFCR4cmhLCEJUuxzD3uYC6ZXF9++WVefvllAA4ePMhnn30miVWIykQpMJhpruPkZQGXTK5CiEpOumI5v44dO9KxY0dHhyGEKAOlFMrMzFRJbwEhhLCC9BYQQggbs6Tmau5xB3PJpVhCiEpOKZSx9MPSmmtSUhK9e/cmJCSE2NhYOwf+fyS5CiGcT0k/11IP88nVYDDwxhtvsGzZMjZt2sTGjRs5d+5cBXwAKQsIIZyMpmnc2/H/4V7HvdTnefrURtO0Up9z6tQpmjdvTrNmzQAIDw8nMTGRFi1a2CzeO6nSybV527tY8vMbjg5DiIpn43JlvpZvs7E8PT0JHtAd1d/8zHTz5s1MmDDBdDsyMpLIyEjTbb1ej5+fn+m2Tqfj1KlTNou1NFU6ubZv397RIQgh/oumadSuXdui50ZERBAREWHniKwjNVchhMvS6XSkpaWZbuv1enQ6XYW8tyRXIYTLatu2LRcuXODixYsUFBSwadMmgoODK+S9q3RZQAjh2tzc3Jg5cyajR4/GYDDw+OOPc++991bIe2vK2ft2CSFEJSRlASGEsANJrkIIYQeSXIUQwg4kuQohhB1IchVCCDuQ5CqEEHYgyVUIIezg/wOdcPs8eDN9egAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fT0JCAmPGjKF27doMGDCgREx37jtC0QGQUqnEw8Oj2Gfj7+rVqxdffPFFsXu6d3zyySfIZDK2bt2Kq6srv/32G++///5D27z3M3E3k8nEe++9R58+ffjvf/9L3759LVcdHtbWnc/W3ZKTk2nbti0ALVq0YP78+fj4+PCvf/0LFxcXZs6ciUqlstxDtTbiEl8ZcHJyYuLEibz//vv89ttvaLVaDAYD+/fvZ8GCBSXqazQa1Go1bm5uaLVaPvnkE8syvV7Pli1byMvLQ6VS4eDgYPkS2Lt3L3FxcUiShJOTEwqFAplMRmBgIA4ODixbtozCwkJMJhNXrlzh7NmzQNFN7ztnaneO8B52yezuWG1sbHB2diY7O5vPP//8b++fevXq8fXXX/P+++9bbqYPHjyYRYsWWb5UMjMzLTdpu3btyr59+zhx4gR6vZ7Fixc/tIfS/v37LfU//fRTmjRpYjm6rFKlCo0bN2batGl06dKl1EsrUHSZ8ObNm/z0008YDAYMBgNnz54tliwfxNPTk1u3bj2wTs+ePVmyZAmZmZlkZmbyxRdfFLt5DUWdBPR6PSdOnGDfvn3FDnp69+7NihUruHLlCl26dCl1GwqFgm7duhEZGUl+fj6JiYmsXLnyvh0q7tW7d2+qVKnChAkTiI2NxWw2k5WVxdKlS9m/fz+BgYHY2try9ddfYzAYOHbsGHv27KFHjx6P1P69fH192b59OwaDgXPnzrFz507LsqNHj3L58mVMJhOOjo4olcpSP7sRERGsXr2aW7duodFoiIyMpHv37n/rsntphg0bxsqVKwkJCSmxTKPRYG9vj5OTE6mpqXz99dfFlj/K5+FeS5cuRSaTMXfuXF555RXefvvtR35Gqn379ty8eZOtW7diNBrZvn07165do0OHDkDRgfSNGzc4e/YsgYGB1K9f33LVoLT3Zw1Egiojo0aNYvr06Xz55Ze0bNmSDh06sHbt2lKP1vv06YOPjw9t27alZ8+eJe4Jbd68mY4dO9KsWTN++OEHPvroIwDi4uIsPdVefPFFBg8eTFhYGAqFgqVLl3Lp0iU6depEWFgY//d//0d+fj5Q1AOpZ8+eBAUFMWfOHCIjI+/7JX2vESNGoNPpCAsL48UXX7Qcjf1dvr6+LF26lJkzZ7J//36GDx9Ox44dGTVqFEFBQQwcONCSUOvXr897773H1KlTadu2Lc7Ozg+9LBIREcEXX3xBaGgoFy5csOyzO/r06cOVK1fo3bv3fdtwdHRkxYoVbN++nbZt29KmTRsWLlxo6WX3MOPHj2f69OkEBwcX6/13t7FjxxIQEECvXr3o1asX/v7+jB071rLc09MTZ2dn2rZty9SpU/nPf/5D3bp1Lcufe+45EhMTee6557Czs7tvLDNnzsTOzo7OnTszZMgQIiIiivXaehC1Ws2qVauoU6cOo0aNonnz5gwYMICsrCwCAwNRq9UsXbqUAwcOEBYWxqxZs1iwYEGxOP+ON954g/j4eFq0aMFnn31WLGHfvn2biRMn0rx5c3r06EGLFi1K/R3269ePXr168dJLL9GpUyfUajUzZ878R/HczdXVlZYtW5Z61jN+/HguXrxIcHAwY8aMKXHAMGbMGJYsWUJwcLClJ+6DnD9/nlWrVvHhhx+iUCj417/+BcCyZcseKVY3NzeWLl3KypUrCQ0N5euvv2bp0qW4u7sDRZfK/f39qVevHmq1GihKWj4+Pvd95KC8yaS/c61GEJ5S0dHRTJs2jb179z7wEkt5OnbsGNOmTePAgQMPrNe5c2fef/99WrVq9YQiE4TyIc6ghArPYDCwZs0a+vfvb7XJ6VHt3LkTmUxGWFhYeYciCI+d6CQhVGixsbH069cPX1/f+z6g/LQYNmwY165dY8GCBY98D1EQnmbiEp8gCIJglcRhmCAIgmCVKtwlvlOnTj2wd5M1MBgMJR40tDYixrIhYiwbIsayYa0x6nS6Uke4qXAJSqFQ4OfnV95hPFBcXNwDH76zBiLGsiFiLBsixrJhrTHebygscYlPEARBsEoiQQmCIAhWSSQoQRAEwSqJBCUIgiBYJZGgBEEQBKskEpQgCIJglUSCEgRBEKySSFCCIAiCVRIJShAEQbBKFW6w2AsXLuLv36i8wxAEQajwCg0mbFWK/7mdmJiYUkcAqnBDHcnlMmpN31beYQiCIFR4N+f3fKztV7gEJQiCUFEYc9Mx5qahcHBD5eZz33qSJGHWZCOZDMjUtijsnIstN2nzMGYmglyOyr0qchuHovWMBgxZiUgGHSrPmsjVtkX187OQTIYS21E4eyKTPbk7QyJBCYIgWBlDVjKZvy6l8MZJS5napyHunV/Dxru+pcxcmE/mnq/RxkZjLsgpKpTJcWk5ENe2L2HMyyBr3zcUXDoEZuOfa8lw8O+A2qs22YfXIek0RaVqO5ya9cSYmUTBlcOlxqV09cZ7RCRyW8fH8r5LbO+JbEUQBEF4JGa9ltQf3sVVZeb/Zs8mNDSUixcv8vHHH3Prh3fxeeULlM5eAOSf303B+d28/PLLNGvWDAcHB9avX8+ufdtwCulD6n/fxtaYzxsTx9OlSxeMRiM///wzy5YtQ3NhL7169WLw4ME4ODiwbt061q5dC8DIkSNp27ZtsbgyMzOZOnUqBbHROPqHP5F9YfUJatWqVURFRSGTyWjQoAHz5s3DxsamvMMSBEF4LPJO/4IpN50thw7RvHlz1qxZw0svvUTv3r1p0KABOUd/xKPLWABMmixUKhVz5swhPT2dwMBALly4wM7d+8g9vgnyb/PrwYMEBQWxevVqsrOzCQgIAKBv375s2LCBLVu2kJKSwnfffYe7uzufffYZXl5e1KtXDwB7e3uaN2/OH3/8AfBEL/FZdTfz1NRU1qxZw4YNG/j5558xmUxs2yY6QAiCUHFpY48TGhpKq1atWLNmDWPGjOGjjz6iZs2a9O3bF+2145a6Kvfq6PV6fHx8mDVrVrF2Ci7/Tnh4OGFhYbz33nu8//77vPfee0ycOBGAAQMGADBp0iReffVVtFotkydPBuDDDz+kXbt2tGvXju+++w6AL7/8EplSjW2tkhMLPi5WnaAATCYThYWFGI1GCgsL8fLyKu+QBEEQHhtjTioNGzYE4Pr16wDcuHEDgIYNG2LKy7B0YHAI6Ijn89NKtCEZdBgzEwkPL7oUN2XKFBISEsjJyWHChAkA5ObmAtC8eXP8/f2xs7Ojdu3a2NjYYFOtEbZ1mqNUKpk8ebLlZMEhoBMKe5fHuwPuYtUJqnLlyowaNYrw8HDatGmDo6Mjbdq0Ke+wBEEQHh9JQi4v/au5qFwidf2/SV3/b/JObsW+YWtkKtt7G7mrPhw+fJhatWoRExNDZGQkXl5ezJ8/n9jYWH788UfOnTuHRqOxrKPyqI4u4SIDBgygRo0afPbZZ+h0epxD+jyud10qq74HlZOTw+7du9m9ezdOTk5MmjSJzZs307t37/IOTRAE4bFQOntx9epVAMv07DVq1ACwlDf2UqPX6zm7exlZu5fdt6079Y8ePUpcQiKnT5+madOmeHh4WB6ObdCgAQUFBfz+++9cvHgRrVaLKukykl7LtGnT0Gg0LFmyBPsGLVG5Vy2xjbi4uDJ9/3ez6gR1+PBhqlWrhru7OwBdunTh9OnTIkEJglBh2dVpzqGD33Lq1CmGDRtGXl4ew4YNIzk5mQ0bNgCwa9cuEhISCAwMBOCbb76hdu3aAAwePJjGjRvz5ptvsn79eubPn8+IESPQaDRERERw6dIlrl69StOmTRk1ahRxcXFERETg4+PDlClTABnG7GQ6depEUFAQixcvJjMzkyo9+pYa750k+r+IiYkptdyqL/H5+Phw5swZtFotkiRx5MgR6tatW95hCYIgPDZOzXoid3AlIiKClStX0r59e3bu3El4eDharRaAzZs3s2vXLss69vb2pKenExUVxfXr17G3t0cmk5GXl0f79u05ceIEQ4YM4aeffrJ0N8/JyaFmzZoMHjyYrKwsunbtyg8//IBd/VAkg45GjRoRFRVFZGQkNlUbYVPV94nvC6sfi2/x4sVs374dpVKJn58fc+bMQa1W37d+TEwM3Vdff4IRCoIglC19+k0yd3yOLumSpUzlUQOXVgPJ3L38r4dyAZlSjWTUl2hDprLFObg3msu/F40icacdrzo4NGpHzpEoy0O6AAoHN5zD+uPYuDPJqyZhzE75c4GKyoNmY1vNv8Q2ymqoo/uNxWf1CervEglKEISKQp8eZxnqSF25LjKZ7M/hiZJAJkPlXhXJZPwrmdxF6VwJuY09kmRGn3INc0EuStfKKN2rIZPJMBt0GNJuYNLmILd1wsa7ATJF0V0fyWzCkJkIkmRppzSPO0FZ9T0oQRCEZ5m6Uk3UlYrf45EpVcXKZHJFiTrF6svk2Hg3KFEuV9nc97KdTK5A7VnjH0Zddqz6HpQgCILw7BIJShAEQbBKFe4Sn9ksPfY5SgRBEISym7DwfircGZTRWHIOE2vzOB9sKysixrIhYiwbIsayUdYxPs7kBBUwQQmCIAgVg0hQgiAIglUSCUoQBEGwShUuQSmVqvIO4aHKYuyqx03EWDYqYoyFBtNjikQQiqtwvfjkchm1potJDQXhcRG9ZIUnpcIlKEF4WpkNhRTEHECfGotMZYtdvRbYVG2ETCYrVk8ym9CnXEOfGotZpwGZAvv6oZapEIx5t9Fc2IsxNx2lowcO/uEonCuhS7iALvGeUaNlcuzrtsCoyUSffOWeZcXbFYQnTSQoQbACuuQrpG/4AJMmCzc3N7RaLbnHNmBXrwWVek9HpiwaINls0JHy7RQM6TeLrZ9zZB3Vxq5Gc/43Mnd/jRwz7u7uZGZmkv37Wuzrh1Fw5XCp287et/K+cd1pV66+d0I8QXj8Ktw9KEF42kgmA+mbP6RmZTcOHDhAZmYmGRkZfPTRRxTGRpNzZL2lri4xBkP6TRYuXEh8fDxarZYff/wRSaeh4NJBMn/9il4RPYiNjSU9PZ24uDgGDuhvSU4pKSlotVrLv+3bt1vazsvLK7bsTruGzIQnvk8EAZ6CM6jVq1cTFRWFJEkMGDCAl19+ubxDEoQyVXD5EKacVD7/fjuhoaH07duXrl27MnXqVI4ePcrGrVtwaTmw6Czqz8kHUlJS+PTTT1m4cCEqVVHHoNzjm3BxcWbNmjUkJiYSHh7Oxx9/zMqVK9m7dy/p6enY2Nhw5MgRoqKiAEhI+Cv52NjYsHv3brZs2QLAzZs3AZDbOj7BvSEIf7HqM6grV64QFRVFVFQUmzdvZt++fU/F09qC8Hfokq7g6OhI9+7dOXXqFJs2beLTTz8FYODAgUj6gqLpFQAbn4YoXb1ZuHAhq1evLtaOISOeLl264OLiwrp169i3bx9r167F3t6enj3/6thgb29P/fr1MZvN/Pbbb8XacHJyol69ehgMBvbs2QOAwt7lcb59Qbgvq05QsbGxBAYGYmdnh1KpJCQkpNgskoJQEZjyM6lWrRoAt2/fBiAjIwPAUm7ISMBUmI9MZYPPK19i36BVqW09rJ3c3FwKCgp47rnnWLp0Kfv27UOhKBquJjs7G51OR/fu3Vm+fDk7d+5EJpOR/8eOx/G2BeGhrPoSX4MGDVi0aBFZWVnY2tpy4MABAgICyjssQShTcht7stOyAbCzswPA1raoU0J2dlH57c3zAVA4V8It/BUKrhzG3tOzRFt36t+vnTtnRwD79u2jffv2BAQEcObMGapWrYrBYEAmk3Hs2DHat29P3bp1Sbq3dx9Pfty5/Px8q796ImIse1adoOrWrcvo0aN55ZVXsLOzw9fXF7ncqk/6BOFvU7pXJfXcr9y8eZPAwEDs7e1p2bIlAMeOHQNg9OjRBAQE8M4771iSVWnu1A8LCwMo1o63tzcuLi5cunQJlUqFg4MDAIWFhVSvXh0bGxuuXbuGjY0N9vb2lmUyl5JfE0/6AeS4uDirf+hZxPjPxcTElFpu9d/2AwYMYOPGjaxduxYXFxdq1apV3iEJQplyaNQeSa7g7bffxsPDgxs3brB69Wpu3rzJZ599BkBERASTJk3CxsYGgJ07d5KUVHRfqlevXuh0OgYNGsTFixdZsWIF/fv3J+FGL8QAACAASURBVD4+nhEjRrBu3Tqio6OpVasWMTExXL9+naSkJIKDg/nvf//L5cuXadCgAVevXiU2NpbExET8/f1ZsWIFCQkJ2NZoXG77Rni2WfUZFBRdQ/fw8CApKYldu3axfv36h68kCE8RpZMnrm2Gsn79aqKjo4mIiCAjI4ONGzdSWFgIwPz581m9ejUajQaADz74gKVLlxZr58SJE0DR2daaNWto1qwZ586dY/fu3QAcPXqUsLAwmjVrhkKh4OzZsxw4cACAPXv20KpVK4KCgpDJZJw+fZrDhw9jW7MpDgGdntSuEIRiZJL0Z79VKzVkyBCys7NRKpW88847lksW9xMTE0P31defUHSCUHYKrh0jN3oz+tRY5Cob7Oq1wCVsAAVXjqK5sAfJbEJdqRZyB1cK486CZC62vsLeGZeWg9CnxpJ/7leMuekoHD1wbNwJp6bdyTuzA+3V40XPNUlmlK5VsPdti2OTruSf2oY2NhpDZiIASrcqOPh1wCmoB7J7xrcsj6GOrPXS1N1EjP9cTEwMfn5+JcqtPkH9XSJBCcLjJRJU6USM/9z9EpTV34MSBEEQnk0iQQmCIAhWSSQoQRAEwSpZfS++v8tslsR8NYLwGBUaTNiqFOUdhvAMqHBnUEajobxDeKin4UluEWPZqIgxiuQkPCkVLkEJgiAIFYNIUIIgCIJVqnAJSnnPQ4XWyBqfQ7iXiLFsPCjGQoPpCUYiCE+fCtdJQi6XUWv6tvIOQxAeSnTmEYQHq3BnUIIgCELFUOHOoAShMO4succ3oku+gkyhxLZ2c1zC+qNyr1qsniSZ0ZzbTd4fv2DMTERu74yDX3ucQ/ogmQzkHIlCe+MU5oJs5DYO2FT1wzmsP4U3TqG5fAhjdgqYTSgc3LGrG4xzWH+MmYloLu5HnxqLWa9FplDiGNgFp6Ae5bQ3BOHpJRKUUKHkndlF5o7FeHt702v4YDQaDRs3biT50kEqD5mPTZV6lroZ2z9Fc343gYGBtOs3kuvXr7Njx3ryzuwAkwmlWUePbt2oUaMGGRkZbN++neRv9gHQunVrAgI6oFQquXHjBr/+upXc4xsBcHR0JLRZMzw8PLh16xYnfvsKe982KOycy2OXCMJTSyQoocIwF+aTtXcFnTt3Ztu2bWg0Guzs7FiwYAHBwcFk7F5G5SEfIpPJKLx1Hs353cyYMYPZs2eTmppKpUqV+P333+nQoQOSJLH/yBHCwsI4evQoTZs2JSsri4CAADIzM9m6dSvZ2dm4uLjg7u7O3r176dixI1A0OWCjRo0AWLt2LS+99BJmbZ5IUILwN1n9Pajr16/Tu3dvy79mzZqxatWq8g5LsEIFVw4j6TTMnz8fs9lMvXr1eP755/H29mbatGnoEi5izCqa5C//7K94eHgwY8YMjh8/jre3N3PnzqVdu3b06dMHNzc3wsLC2LVrFz3/8x2LFxedlTVp0gSA+vXrU6dOHby9vUlMTCQ8PBy1Wg3A0KFDCQwMLLf9IAgVhdWfQdWpU4fNmzcDYDKZaNeuHc8991w5RyVYI0NmEmq1mubNm/PHH3+QmZnJkSNHgL+mQDdkJqJyr4oxM5EmTZpgZ2fH0aNHkSSJw4cPW+pu2rSJdevW0b17d95sG03//v05deoUx48fB4om0hw9ejQ1a9bEy8uLZcuWodfrkant+OOPP6hdu3b57ARBqECsPkHd7ciRI1SvXp2qVas+vLLwzDHr8nFxcQFAq9UCWGakdXd3ByD3+EZMuWnoki7h1tL/gXVv3LiBSqWiTZs2VKpUiejoaMzmvyYJnDhxIj4+PgCWmW5dWw9Gn3YDCm4+zrcqCM+EpypBbdu2jYiIiPIOQ7BSCkcPbt++jU6nw9PTE/gr2SQkJACgu3Ue3a3zxco8PDyK/UxISCAoKIjp06ezZMkSJr77AaMGPs9XX33Fzp07WblyJQCBgYEoFAoOHDjA5MmTWbFiBRf2flMUzD1nUKnrZlKpzzvYeNcvVm4NY/Xl5+dbRRwPImIsG09DjHd7ahKUXq9nz549TJkypbxDEayUTZX6SJLEhg0bGDJkCC+++KLlnlFUVBQAn376KYMHDyY0NJSTJ09y8+ZNevbsSfv27Rk1ahQAGzZswGg0AuDr64u3k9LSTkFBAX5+frRt25bo6GgqVapEjRo1AMjOzgagY8eO+Pr6AlCjRg369evH4cOHyfr9OyoPmFUsZmsYDcNaZ1m9m4ixbFhrjDExMaWWPzUJ6sCBA/j7+1uOjAXhXrZ1mqGqVItp06bh5eXFDz/8gMFgYPny5axYsaKojq0tzs7OyOVyjEYjw4cP56uvvmLfvn1kZmYyadIkzp8vOsP697//zdtvv018fDwmk4m1a9eyceNGAgMDWbBggeVyYnJyMmPGjCExMRGADz74gObNm6PT6WjRogVr166lX79+/HriUvnsGEF4SskkSZLKO4hHMXnyZNq0aUO/fv0eWC8mJobuq68/oagEa6NPjyMt6j+Y8tJxd3dHp9Oh0WiwqeqHPv0mkl5rqWtTPQB98lUw6alUqRLZ2dno9XqcmvXEpM2nIGY/crkcDw8PsrOzMRj+mspFJpPh6emJXq8nJycHAIeAzmgu7gVz6WPsOQb1wKPLWMtraxnqyFqPqu8mYiwb1hpjTEwMfn5+JcqfijOogoICDh8+zPvvv1/eoQhWTl2pJlXHfIXm0kF0SZeRK1R41WmOba0gTHnpFFw6hGQyoHKvhl39UMyF+WjO76YgMwnbus54+LVDXakWAIXNIii8eQqtJgu7uk64+vhiVzcYffIVCuPPoc1NQ6ZQ4epUCfv6oajcq+Ic0hvt9ZMgmYvFpXB0x75hm3LYI4Lw9HoqEpS9vT3Hjh0r7zCEp4RMqcYxoBOOAZ2KlSudvXBu8UKxMoW9C84t+pbajm01P2yrlTyqs6nqh03VkuUAaq/aqL1EF3NBKAtW/6CuIAiC8GwSCUoQBEGwSiJBCYIgCFbpqbgH9XeYzZLV9I4ShAcpNJiwVSnKOwxBsFoV7gzKaDQ8vFI5exqe5BYxlo0HxSiSkyA8WIVLUIIgCELFIBKUIAiCYJUqXIJSKlXlHcJDWeOT3PcSMZaN0mIsNJQ+0oQgCMVVuE4ScrmMWtO3lXcYgnBfohOPIDyaCpegBMGYdxtDehwytT023vWQKUo/q5YkCUPGLUw5aSicPFBVqoVMJitaZtSjT4/DrM1FbueMulItZH+enRtzb2PISgSzCaVLZZRuPshkMsyGQozZqcW2IVMoLcsFQfh7RIISKgyTNpfMXUsouHzIMhaewtEd13YjcGxcfNgjfdp1MnZ+gT7psqVMXbku7l3Gok+7Qfb+VZgL8y3L5HbOODRqT2HcGQy344u1pfauj3OLfmTu+AyzTlMiLtuagXi9OEckKUH4m0SCEioESZJI3zQXWfo13pn+Nj179iQtLY3IyEgObo9EbueIfb1QoCiRpf7wf3i7O/HO55/TrFkzzp8/z7x587jxbdF8Y8899xyvvfYaVapUISUlhc8//5y9e7fi5eXFjE8/pXHjxqhUKs6cOcPcuXNJ2jwfuVzO+vXri8V1+PBhFi1ahDE7BZWb9xPfL4LwNLPqThLJyckMGzaMHj160LNnT1avXl3eIQlWqjDuDLpb54mMjGTu3LlcvHiRevXqsWfPHho2bEj2we+4M7NM3oktoMtnx44dDB8+nCNHjtC3b1/27NmDSqWicuXKbNu2jaZNm/L9998THBzML7/8gpubG3Xq1KFLly5ER0dz+/Ztxo0bZ0lKMpmMAQMG0LRpUxwdHXF0dMTW1vbPCJ+KWW0EwapY9RmUQqFg+vTp+Pv7k5+fT79+/WjdujX16tUr79AEK6ONjcbBwYFRo0Zx8uRJxowZQ4cOHdi7dy+vv/46b7zxBqb8TJROHmhjowkPDycgIIDIyEimTJlCTk4Os2bN4vnnn+fMmTOoVCoOHTrE6iNxtDt2jAEDBuDg4MCZM2fw9/fHbDYjk8nIyMigefPmxWLZvXs369at49KlS6SkpACgdBVnT4Lwd1n1GZSXlxf+/v4AODo6UqdOHVJTUx+ylvAsMuWmU6tWLdRqtWX0hjs/GzRo8GedNACMuemWsjt14uPjLXVjY2N56623GDp0KKfXRdK3b18mTpxIQkICWq0WbJ0ACA8Px83NjU2bNhWL5bXXXmPv3r3cunWLadOmAVB4/eTjfPuCUCFZdYK6W0JCAjExMTRp0qS8QxGs1L2TQ1t65P1ZnvL9O6R89xZmbW6June3UaVKFSZPnsz58+dZsGABly9f5q233sLDwwMAc0EOvXv35ueff2bfvn2MGTOmqNxsJjw8HHt7e/z8/MjIyGDevHk4OzujvR79uN62IFRYVn2J7w6NRsPEiRN59913cXR0LO9wBCukcPHi5oU/0Ol01KlTB4DatYsmDrx8uainXlBgY9zd3dmbfMlSdqfO3XXbtWuHt7c3H374ISt/+hU3Nzfmz59P69at2bJlC2PHjuWzzz4jKiqKESNGoNPpALC1tWXfvn0AXLp0idjYWCpXroybmxu3dQXF4rWmcQTz8/OtKp7SiBjLxtMQ492sPkEZDAYmTpzI888/T5cuXco7HMFK2ddtQWr0TyxbtowJEyawZs0aQkJC0Ov1fPnllwDMnz+fLl26WBLJH3/8wejRo1GpVAwZMoRr167x888/U7duXQwGA6+//joqlYp//etf6HQ6zp07R0hICF988QVms5mqVauya9cuALp3706nTp2YPXs2u3fvpnr16rRq1YqTJ08SHx+Pa4fi3dytaRSMuLg4q4qnNCLGsmGtMcbExJRabtUJSpIkZsyYQZ06dRg5cmR5hyNYMZsajbGtFcTUqVOJjY0lIiKCU6dOMXz4cK5duwbAr7/+SlJSEiaTCUmS6NatG1OmTKF58+asXr2ahQsXYjQauXz5Ml27duWVV16hW7duHDlyhGXLlnHjxg1UKhWrVq0qsX2z2czJkyfZsWMHTZo0wWw2M2fOHCIjI5E7eeIQKA6uBOHvkkn3uxhvBU6cOMHQoUNp0KABcnnR7bI333yT9u3b33edmJgYuq++/qRCFKyIuTCfzN1fo7m4F8xF490pXSrj2m44eae3oUu4CIDcwRWP58aSe+pndPFnLevbVPXD/bnX0KXEkn1wDWZNtmWZwtEdtXcDCm+eRjLoSg9AoQSTsViRba0g3Lu8jsrNx1JmbUMdWetR9d1EjGXDWmOMiYnBz8+vRLlVn0EFBwdb7hUIwsPIbR3x7PkGbuEjMWTcQqayRe1VG5lcgb1fO0x5t0Eyo3B0R6ZQYd+wFYbsFEy56Sgc3VG5VwWKRpRwDOiIISsJc0EOcnsXVO5VkckVmHUFmAvzSmxb4eCOTKnCpMnGkJUEyFC5VUHh4PaE94IgVBxWnaAE4Z9Q2LugsHcpViaTyVA6VypRV+VaBZVrlRLlMoUStWeNEuVyG3vkNvb337aDKwoH138QtSAI93pqupkLgiAIzxaRoARBEASrVOEu8ZnNktXdhBaEuxUaTNiqFOUdhiBYvQp3BmU0Gso7hId6Gh6UEzGWjdJiFMlJEB5NhUtQgiAIQsUgEpQgCIJglUSCEgRBEKxShUtQSqWqvEN4KGt8kvteIsayUamymAdKEP6pCteLTy6XUWv6tvIOQxAA6xvWSBCeJhUuQQnPBkmS0MWfo+DqEcy6AtSVauLQuDMKO+eSdU0GCi4fojCuaNw9m+oBOPi2RZd8mcIbp0tMxi5TKLFv2BqFrROai3sxZCYiU6qxqxeKbc0mFN44ReGf4/rdTa5UY9+ofakjUwiC8PeJBCU8dSSjgfTN89FeO4aTkxMebm7En99N9qHvqdR7OnZ1/pqC3ZibRuq69zBmJuDl5QVA2tldZGz7BACFomSXb0mSyPl9LciVYDbi5eWFVqsl7eRWZDYOSDrNfdfLP/crPmOWIZNVuKvngvDEib8i4amTe+IntNeOsXDhQtLS0oiLi+P8+fMEBfhxe+tCzHdNDpix4wscTHls3bqV1NRUUlNT+eWXX3B3dwfg3LlzGI3GYv++++47AJoHNeHKlSukpqaSnp7Op59+CvqitlNSUkqsFxkZiTE7BXOh5snvFEGogKw+QeXm5jJx4kS6detG9+7dOX36dHmHJJQjyWwiN3ozPXr0YMqUKaxdu5b27dtTvXp1li1bhrkwj/xzvwKgT4+j8MZJ3nnnHSIiIhg7dqxljqcZM2YAMH36dIYPH87w4cOJiooCIDq6aHr2lStX4unpSb169Zg/fz4TJ06kb9++AIwbN86y3s6dOy3rydQPHkxWEIRHZ/WX+ObMmUPbtm1ZvHgxer2ewsLC8g5JKEemvAzMBdmWRLF8+XKOHTvGwYMH6dmzJzVq1CAjNRYA/Z8/+/bti1ar5auvvkKSJCIjI+nbty9Tpkxhy5YtyJQ2YNLz7rvvkp2dzfLly5HJZPj5+XHhwgVib8Zz6NAhAHr37s2GDRtYv349KJTYKBUsWLCAW7du8cMPP+AYFIFMLkaKEISyYNVnUHl5eURHR9O/f38A1Go1zs4lb4ILzw5TfgYAPj5FEwBmZmYCkJWVBUDVqlUxZCZizE3HkH7TUjcnJwez2YwkSWRnZ1O1atHcT85hA5CpbIiIiMDX15elS5eSn5+PJEkcPXqUgIAAZr47nXfffReAatWqAeDZ5x1kMgVDhw6lSpUqLFq0CKPJjHNwrye2LwShorPqM6iEhATc3d155513uHTpEv7+/syYMQN7e3EJ5Vklt3UE/kpMdz4Ld35mZGSgT7pC4pKRlnUyMzNxcflrfih7e3syMooSnfbacczaXKZOnYper2fx4sXY+PiiS7rEoEGDmD17Nr169eLKlSsApKWlAaC5sBdMeqZOnUpOTg7Lly/Hwa8dSmevEjFb+5iB+fn5IsYyIGIse1adoIxGIxcvXmTmzJk0adKE2bNns2zZMt54443yDk0oJ0qXyqBQcujQIYYOHUq7du24fPkyISEhJCcnc+PGDRo0aMBbb73Fzz//zE8//cShQ4cYNGgQTZo0QafT4enpycaNGwEw3I6jRYsWtGvXjpUrV5KcnIxX/1dJ+/E/aDQaRo4sSnTTp08HYPPmzchUthTGn6NHjx74+fnx4YcfkpeXh3eLvqXGbO0PFFvrNOB3EzGWDWuNMSYmptRyq77EV6VKFapUqUKTJk0A6NatGxcvlnz+RHh2yJRqHAM6sXLlSk6fPs2iRYtISUnB29ubt99+G4PBQJUqVXjllVdo1qwZALNmzSIjI4OjR49y6tQpsrKy+Pe//21pc9q0aQAsXLgQlVcdbKo1AmDGjBkkJCQQFxfHvHnziIqKYt26dcjkCiSdhmnTpqHX6/n000+xrdkUdeU6T36HCEIFZtVnUJUqVaJKlSpcv36dOnXqcOTIEerWrVveYQnlzKX1EFKunyI4OJiuXbvi4+PDr7/+Snx8PFDUdbxLly5cv34dgEtXrlGrVi2ef/555HI5W7ZsIU+jxa5+GNqrR1m6dCmLFy/m4sWLeERMQaayQW7nTGRkJKdOncLR0ZHjx49z5swZ1N4Nsa3WiPyTm5kzZw65ublFZ10DXy/PXSIIFZJVJyiAmTNnMnXqVAwGA9WrV2fevHnlHZJQzpROHni/vIjcE5v57fgRzLpjqCrVwqv/SJRuPmQf/I4DF24hUzvj1f8/KFy8yD22kfXb94AkYVszBO8WfVG6VCZr93J+j4kHmQyXli/i0Kg9MpkcrwH/IevIeqJ+2Ytk1KN0qYx71/E4BnTCrC/AVJDNgQu3QCbHtcNIbGsFlfduEYQKRyZJ0r0jvTzVYmJi6L76enmHIQjA0zEWn7Xel7ibiLFsWGuMMTEx+Pn5lSi36ntQgiAIwrNLJChBEATBKokEJQiCIFglq+8k8XeZzdJTcd1feDYUFOqxt1WXdxiC8FSqcGdQRqOhvEN4qKfhSW4RY9lIT00u7xAE4alV4RKUIAiCUDGIBCUIgiBYpQqXoJRKVXmH8FDW+BzCvUSMj6bQYCrvEAShwqpwnSTkchm1pm8r7zCEZ4TokCMIj0+FO4MSBEEQKoYKdwYlVBy6pMvkHFlPYfxZkMzYVPPHJaw/tjUCi9WTJImCmAPkntiCPi0WucoWu3phODbpQu7xjZaJC+8mt3HApc0QlM6VyD2+Ce31k5h1BSgc3bCt2QSlsxeFcWcwpN/EbChE4eiOXZ1gXFoPRuno/oT2gCA820SCEqySNvYEaRvex6uSJ6+MeQWlUklUVBSJ37+L5/PTcGjU3lI3++B35B5ZR6NGjYgY9ia3b99m3bp1pJ7/DZVKxaAXXyzR/okTJ7i04QOQK3F2tGfEoH5UqVKFmzdvsmnTJjSFhYSEhBDSawQuLi7cuHGDTZs2kXL9JN4vL0JhJ2Z2FoTHTSQowepIZhOZu78iwL8RR44cwWAwYDQamT9/PuHh4Rzf8zV29cOQq2wwZKeQezSKESNGsGrVKhISEvDw8OA///kPTZo0wWQy8e2335bYxtixY7l06RIhzYPYtWsXcrmc8+fPU7duXc6ePcuFCxc4fvy4ZQqPGjVqcPLkScLCwsg7+TOubYY86d0iCM+cp+IelMlkok+fPrz66qvlHYrwBOgSYzBmJTNz5kwcHR1p27YtQUFBqFQq3n//fUyaLApvngZAc3EfchnMnTuXpKQk6tWrx8iRI6levTrjx48nNzcXlUpl+Xf06FF0Oh2bNm0C4OOPP0aSJPz8/GjdujVVq1bl6tWrAHTu3JmaNWtSu3ZtTpw4QfPmzfH19UWfGltu+0YQniVPRYJas2aNmKjwGWLMSgIgJCSEgoICLly4QGJiIklJSQQHBxerY8xKwsfHBx8fH86cOYNOp+P48eMAlrrKqo0wmsyEhIQQFhbGt99+S0pKCq6urrRu3ZqsrCw2btzIuXPn+Pe//43RaARgz8EjAMjlcuzs7CgoKCApKQmFvcsT3R+C8Kyy+gSVkpLCvn376N+/f3mHIjwhZp0WAFdXV3Q6naVcp9Ph5OSEXC4n59gGco7+iOb8HlxdXS3L7/55p1zp5gOS2TK1+8cffwyAi4sLcrmcOnXq8OOPP3Lu3DlmzpzJ6NGjAVDYOWFra8u6deto2LAhI0aMIDMzC8fA557AXhAEwervQc2dO5dp06ah0WjKOxThCVE4eQAQHx+Pv78/arUag8GAp6cnSUlJmM1mKMghe/8qAG7dugWAp6cnAJUqVSpWrrl4gPr169O7d2+2bNnCpUuXULhUtrSVlJTEwo8/oWmTQAYPHkxwcDDLli3DRWlk87bfaNq0KS+88AI///wzANI94z0+aEzA/Px8qx8zUMRYNkSMZc+qE9TevXtxd3cnICCAY8eOlXc4whNi410fkPHDDz8wb9483nnnHXJzc3FxceGrr74C4M0332T27Nn07duXHTt28Msvv9CpUycGDhxIz55FD89+//33AEj6At58803kcjkLFy5E4eyFW/uXub3lQ3766Seef/552rVtQ9u2bQE4deoUcrmcQ4cO0bBhQ9avX4+vry++vr78+OOPpBz7Eduaf3V1f9CIFtY6g+ndRIxlQ8T4z8XExJRabtUJ6tSpU+zZs4cDBw6g0+nIz89n6tSpLFy4sLxDEx4jpUtl7P3asWjRIurVq8e7776LXC7n+++/Z/bs2QAYjUYKCgowmYqGGho7dizLly9n3bp15OTkMGvWLLZtKxpRxNXVlYiICPbs2cPBgwdx6/Qv7Bu2QulejUmTJmFvb8/+/fspKCjgiy++YPny5SgUCjw9PcnIyKBTp0506tQJgJMnT5J0Oal8dowgPGNkkiRJ5R3Eozh27BjffPON5Qj6fmJiYui++voTikp4XEzaXNI3fIAuMQaVSoVcLken06HyqgMmI4aMeEtdm+oBGLNTMOXdxs7ODr1ej8lkwt6vPQpHN/Kif7LUVTh64POvpcjVdujTb5L24/uYctOwtbVFp9PxKH8Ozi364hY+Cnj4UEfWesR6NxFj2RAx/nMxMTH4+fmVKLfqMyjh2aWwc6by0AUUxp2hMO4MSBLO1f2xq9McSV9IwdUjf4784I59vRYggeby7xjSbqBW2WBXLxSbKvWQjAZsfHwxabKQKZTY1WmOXG0HgLpSLaqO+YqCK0fQp1zDxsYeGx9fbGs2QZd4CX3qtRJxKZ08sKvb4knvDkF4Jj01CSo0NJTQ0NDyDkN4gmQyGXa1mmJXq2nxcht7HAM6lajv6B8O/uHF6ypVOPi2uf82FCoc/Nrh4NeuWLltNT9sq5U8ohME4cmx+m7mgiAIwrNJJChBEATBKokEJQiCIFilp+Ye1KMymyUxiZzwxBQaTNiqFOUdhiBUSBXuDMp4z1P+1uhpeJJbxPhoRHIShMenwiUoQRAEoWIQCUoQBEGwShUuQSmVqvIO4aGs8Unuez1KjIUG0xOIRBCEZ1WF6yQhl8uoNX1beYfxTBCdUQRBeJwqXIKqKCTJjD7pCsa82yidPFD7NEQmK/2E12zQoUu4iFlfgNqzJiqPasWWm7R5lgn+FE6eKP+czgLAVJCDMTsFAKWLFwoHN4y5aZjys4q1IbdzQuXmU5ZvURAE4YFEgrJChQkxZO5YjCHjlqVM5VEd924TsK3WqFjdvDO7yN6/CrM211JmWysIjx6TUDp5ok+9Tsp/30bSF00CiOz/27vz+BrP/P/jr3OyryJUEluIXdW+FGmKyIq20a+aTg1Ga2lRahmqZbTKg7Y6ppRWVX+GVrVVaxhKBgmxlkQjKoIsNNEkksh+cs71+yPjTDKYKic9d+LzfDw8knNf933u97kl+Zz73Nd9XXrqD5mBS7sASq+eJ3PTGyjDvycF1Nvg6NuJksungdsHTXXvPZy6AX+y+OsVQog7qXXXoGq68ptZXP9mHs08HfnHvpO1zgAAIABJREFUP/5BfHw869evp5mnI9e/+Svl+VnmdYuST5Dzzw/p17s7u3fvJi4ujiVLlmCfk8wvmxegysvIivwAn/p12blzJ7t27aJlCz8KEw9hMpSQFfkBvo182LVrF7t27aJxQx9KLv9A9+7dzMtu/QsODqbw3AHrHRghxENH82dQpaWlvPDCC+YpFEJCQnj11VetHava5B/fgq0qZ8+ePbi5ubFy5Upefvll/P39ad26NfnHv8Nz4DgA8qI30Lp1a/bs2cOPP/7I3r17mTFjBk2aNOGPf/wjP/+/qRiyU1m9cydhYWHo9Xrc3d25mmck99B6jLk/s3bzfp588kn0ej0uLi5Axcy0YWFhREVFkZ2dDVTMv6Sz2lERQjyMNH8GZW9vz7p169i+fTtbt24lOjqaM2fOWDtWtSm5fJrQ0FCaN2/O6tWr+etf/8rHH39Ms2bNCAsLo/jyD0DFtaOyzGTGjRuHra0ts2bNYubMmcTExDB8+HDq1auHITuV0aNH07VrV7766qv/7CP9HDdPbuOVV17Bz8+PLVu23DHLtm3b+PTTT5kwYQJRUVGg1/yPixCiFtH8XxydTmd+Z19eXl7xTl5Xe9/Ll+dfp2XLlgCkpVVcg0pPTwegZcuWGG/+8u/1fjEvq7xuWloaer2e5s2b07hxY5YtW8a4cePIyckx70OVFuLn58fixYsZM2YM+fn/uX5V2dKlS9m7dy9XrlwhKCgI480cjEV51fCqhRDidpovUABGo5Gnn36aPn360KdPHzp16mTtSNVHp6e8vLzi238XYv2/z1zKy8tRhlKufT6ZjH9MMy+rvE7ldZctW2Y+43RzcwPA29sbe3t7PvroI3bt2sWFCxfMbwB8fHyws7PjzJkzNG/eHDs7O0JDQ3Fzc+Odd95BlZdSmp7wOx0IIcTDTvPXoABsbGzYtm0b+fn5TJw4kQsXLtC6dWtrx6oWth5eJCYmAv85O2rRogUA58+fByC8d0eysxsRExNTZd2EhARatmxJWVkZly5dws/Pjy5dujB48GDz80dGRvLEE0/g5+dH69atee6558xt//rXv+jatSvJyclkZFR0PT969CgAHh4eAJjKSqrkteZ4eAUFBZoYj+9/kYyWIRktoyZkrKxGFKhb3N3d6dWrF9HR0bW2QDm3fJz9+7/i9OnTTJgwgfr16/N///d/nDlzhu+//x7AfC0uICCAjz/+mKlTp/Lhhx8yYsQIevTowYoVK8jPz2fs2LG4uroCMGXKFCIiIhg/fjxnz57lT3/6E05OFVOfz549m9DQUEaOHElSUhKLFi2ia9euxMfH4+9fMRvtrWtY9l4tquS15qgYKSkpmh+VQzJahmS0DK1mvPVG+79pvkDl5ORga2uLu7s7JSUlHDlyhLFjx1o7VrVx6/4UBfF7CAoK4tVXX6Vz584sXbqUDz/8EKUq7k1asWIFycnJAFy9epWePXsyefJkGjZsyIQJE1i7di0AP/5ShkpPpywzmQYNGnD16lV2795NXl4ep85fQWdrT3lOOo0bN+bixYvs3buXgoICPv/8c8rLy2nRogWnT59myZIlbNy4Eef2T2L/iPZ+uIUQtZNO3fqrp1Hnz59n9uzZGI1GlFKEhoYyadKku66fmJhI2LpLv2NCyzPkXOXG/k8pvnTSvMzRrxvu3Z8mZ+9K88gPjr4dce8xlBsH/x+GX65UrGhjh+tjA6nb78/oHZwByPl+FTd/2AUo9E7u1H/qLzg16wxA1q5lFJ7dB4DeuQ4u7ftRfOkU5Tnp5n3r7Bxx6zoID/8R6CqNdWjtoY60+m6wMsloGZLRMrSaMTExkXbt2t22XPNnUG3btmXr1q3WjvG7svNsRINh8ykvyMFYkIONqye2rp4ANBy3GlPxTdDpsXGq6Pjg6NeN8tyfMZUWYVfXB72DS5Xn8wx6GY+AUSijAb2DMzqb/xSZ+uFT8QwcizKWo3dwQWdjC4FjMRbeoDw/C72DM7Z1GlTZRgghfg+aL1APM9tKhekWnU6PjXOd/1qm+9Vx8m6dTd25zeW2ZTYudbFxqfsb0gohhGXViG7mQgghHj5SoIQQQmhSrfuIz2RSVr94/7AoMRhxtLOxdgwhRC1V686gyssN1o7wq2rCjXL3klGKkxCiOtW6AiWEEKJ2kAIlhBBCk6RACSGE0KRaV6BsbbV/Q6kW7+T+b76+vpQYjNaOIYR4iNW6Xnx6vY5msyOtHaNWkN6QQghrqnUFqiZQJiNFF2IpTj6OMpRi79UC147B2Lh43LauqbSIgh/3U5p+DvR6nHw74dK+Hzpbe3N7/qntmIoqJh109O2Ic6vHMRbfpCB+L2U/J6GztcPJrzvObfpiLMqjMOFfGLJSMJUVY+Pkjn3Dtri0D0Bv5/i7HgchhPhfpED9zkylhWRumkfZzz/h7e1N3bp1OR99hLyj3/BIxBvmQVwByn65QuamNzEV5prneUrdfZC8o9/i9YeF2LjV55dtizGkxuHq6opSil9Obadu4DjyYr7AVFpImzZtuHnjJtd2/Au7I19hyLmKDkWTJk2oU6cO1zMvkxm/l/zj3+H9x8V3LJJCCGENte4alNblRn+B6ZdkNmzYwNWrVzl37hyJiYl0aNOS7J1LMRlKAVBKkR35N3w8XDh27BhJSUmkpKSwZ88eXEyF5Oz7hIK4PZRc/oEPP/yQ3Nxczp49C8CN/atp6duIs2fPcv78ea5evcq3336LvuA6KBNffPEFKSkpxMfHk5GRwZ49e7ArziYvdpM1D40QQlSh+QJ16NAhQkJCCAoKYvXq1daO80BMZcUUxP2TP/3pT7zwwgssXryYPn364Ovry4oVKzAW3qAo8RAApWlnKctMZuHChfTs2ZOnn36aCRMmEBwczIwZMyhOOkrOnhUEBgYycuRICgsLq+zrb3/7G23btqVfv3688cYbPPvss4wbNw6A1atX065dO1q1asXhw4cJDg7G39+f0mvnf/djIoQQd6PpAmU0Gnn77bdZs2YNkZGR7Ny5k4sXL1o71n0z5FxFlZcxZMgQANauXUtsbCw//PADAQEBuLm5UXa9Yi6rssyKr0OGDOHatWts376dtWvXYjKZzFO4u7m58dlnnzFr1ixyc3PN+7GzsyM0NJSEhAQOHjxonsDw1nYHDhwgLy8PV1dX7OzsKCgo4MKFC+jt7z7iuRBC/N40XaDi4+Px9fWlSZMm2NvbM2jQIPbv32/tWPfNWHgDgIYNK6bGyMvLAzAXl4YNG1L2yxUMWWmUZSbj4OCAp6eneT2DwUBRUZF5+/fff5/k5GRWrVpVZT9eXl7o9Xrz81Z+/ls2bNjA6dOn6dmzJ+vWrSMtLQ1j8c3qeulCCPGbabqTRGZmJt7e3ubHXl5exMfHWzHRg7FxrJhgMCsrCwBn54ozFhcXF/Py0uxsrn32snmbgoIC83o6nQ4nJydSU1Np2LAh48aN46OPPmLGjBm4ublhMpmYNGkSn332WZXndXV1rbJfgIiICOrXr8/777/PxIkTiY2NZeN3O27LrOVxAwsKCjSdDySjpUhGy6gJGSvTdIGqbWw9G4FOz6FDhxg0aBADBw5k27ZtdO7cmXPnzpGdnU337t2ZMWMG69evJzIykkOHDhEeHk6rVq1o3LgxNjY2HDp0CBsbG65du0ZERASAuRffhAkTWLFiBSdOnKBDhw54e3sTEBAAVFzPA/D39+fw4cMUFBSQnl4xtbuHhwfKWH5bZi3fVKzV6asrk4yWIRktQ6sZExMT77hc0wXKy8uLjIwM8+PMzEy8vLysmOjB2Di54dz2CVauXMnzzz/PZ599xqpVqzAYDLz22msANGrUiOHDh3Ps2DEiIyN5/fXX6dmzJ+fOnUOv15OSksLChQtJT0+nUaNG5udOT0/HaDTSoUMHAKZPn05kZCQpKSnY29tz7tw5li1bBsDBgwcpLS3FZDLh4uLCjz/+yKZNm3Bs2uH3PyhCCHEXmi5Qjz32GFeuXCEtLQ0vLy8iIyNZunSptWM9kLpPjiJjw4907dqV/v37U69ePfbt28eNGxXXp6Kjo+nTpw9XrlwBIP7Hc/j6+hISEkJZWRl79+6lXGdL3QFj0dk5UHL5B4ouHOHpp58278OhUXuiYw7TuHFjgoODyc/PZ//+/RiNFUMXtWnTho4dO2JnZ0dqairHjh0DR3e8I1783Y+HEELcjaYLlK2tLfPmzeOll17CaDTy7LPP0qpVK2vHeiC2dRrgM2Y5N0/tICbhOCbDBey9O+I9+Cn0Ds7kHf2G0z/fQO/eAu+BM9A7OJN/Yhs7D50CvR7HTuG493gaW/cGALh2Cib/6LckpFbcA+Xx5Cjcez2L4fpl8k9uY2vUUXS29rj0GIp796coSYnj6vkYUg6dRJmM2LjUxa33H3DrEi436QohNEWnlFLWDmFJiYmJhK27ZO0YtYLWx+LT6ufplUlGy5CMlqHVjImJibRr1+625ZruZi6EEOLhJQVKCCGEJkmBEkIIoUma7iRxP0wmpflrJzVFicGIo52NtWMIIR5Ste4MqrzcYO0Iv6om3MmdkpIixUkIYVW1rkAJIYSoHaRACSGE0KRaV6Bsbe2sHeFXWeI+hBKD0QJJhBBCu2pdJwm9Xkez2ZHWjlHtpCOIEKK2q3VnUA87k8mEwXBvHUXKy8vN4/NVppSipKSEuw0yYjAYMJlMd9x3SUnJbwsshBB3IQWqljh9+jTPPPMMjo6O2Nvb07lzZ9avX3/HIvPdd9/Rq1cv7OzscHBwIDQ0lMOHD7Nx40aefPJJ3N3dadu2LW5uboSEhHDs2DHy8/OZPn06jRo1wt7eHgcHBzp37sy6detYvXo1HTt2xNHREScnJ1xdXQkODiYmJsYKR0IIUVvUuo/4HkbHjh3jySefxM3NjUmTJuHh4cGWLVsYOXIkFy9e5K233jKvu2LFCiZPnkzbtm2ZN28eJSUlbNiwAX9/fwA6duzImDFj8Pb2JjMzk2+++QZ/f39sbGwwmUw888wzdOjQgZKSEr7//ntGjx4NwOOPP8706dNxd3cnMzOTLVu2MGDAAKKjo+nVq5c1DosQooaTwWJrqMrXoAICArh8+TJxcXHo9XqysrJo2bIlI0eOZNOmTSQnJ9O4cWNu3LhBs2bN8Pf3Z8eOHaSlpeHs7IyzszM9evQgMTGR48eP4+3tTUZGBj169CA3N5dOnTqRmprKJ598wrhx44iKiqJp06a0bNmSoKAg9u3bx5YtW2jatClKKbp160ZeXh7t2rUjICCAr776qlqOgVYHvqxMMlqGZLQMrWassYPFvv766/Tu3ZvBgwdbO4ompaSkEB0dzbRp0/D09GT48OF06NCBrKwsFixYQFlZGV9//TUAO3bsID8/n7fffhuDwUCnTp0ICQnBxcWF2bNnAzBp0iR8fX3p2bMny5cvx8PDg6CgIAD69OnDzZs3iYyMZMqUKQD07t0bgD/84Q9069aN7t27s2nTJurUqUO7du1IS0uzwlERQtQGmi9QQ4cOZc2aNdaOoVkXL14EoGvXrgD88MMPlJaWkpiYiK+vL56eniQnJwOQnJyMjY0NnTp14tKlS+Tl5XHmzJkq2x8/ftx83apBg4o5p86dOwfAu+++i06n4/HHH2fhwoX89NNPbNiwAYDS0lJGjhzJe++9R0hICDt37iQmJgZ3d/ff6UgIIWobzV+D6tGjB+np6daOoVkFBQUAuLm5AVBWVlblq5ubGytXrsTT05N33nkHFxcXbG1tze1KKQwGg3l7AJ1Ox3vvvcfw4cN54403iI2NBcDDwwOdToezszO2trbY2dnh6upq3q5Lly707dsXd3d3GjVqhLu7u3mmYCGE+K00X6DE3aWkpGBjY2P+vmvXrnh5eZGfn0+DBg0wGo1cu3YNnU7HokWL0Ol0FBYWkp2dbT478vDwME/9DuDg4MC6desYNmwYkyZN4qOPPgIqita7777LuXPnGDNmDO7u7iQlJTFz5kxGjhwJwGuvvQbA22+/zdy5cxk+fDjr16+vtrEHCwoKND+uoWS0DMloGTUhY2VSoGowX19fGjRoQJ06ddiwYQMRERG8+eabxMbG8uijj7Jx40YMBgPPPfccmzZtYuLEiaxcuZINGzYwZcoUZsyYQdOmTQFYv349AF988QXPPvssR48e5ZFHHmH+/PlERUVx6NAhsrOzad68Oe3ataNHjx4AXL9+HRsbG/7+97+zb98+AMLCwgBIS0vjkUceqbaLslq94FuZZLQMyWgZWs2YmJh4x+VSoGo4Jycnpk2bxvz583nzzTeZOnUqzz//PJs3b2batGkAFBUVkZKSYv44cN68eXh4eLBgwQJKS0t59913Wbt2LQDOzs6kpKTg4+Nj7kKenZ3NoUOHGDFiBH/729/Yu3cvpaWlbN26lUWLFqGUolevXrz00kvY2NiQlpbG66+/zvbt25k7d65VjosQouaTAlULzJ49m6SkJBYuXMjChQvR6XQopWjXrh2dOnVi586d7Ny5EwB/f3+Ki4sZPXq0uQBBxX1MR48eJTw8/K77OX78OF26dLlj260zqlv7Bhg5cqQUKCHEfdN8gZo2bRrHjx/nxo0bBAQEMHnyZIYNG2btWJpib2/P+vXrmT17Nrt27aKoqIju3bsTGhqKUoq9e/eSmZmJp6cnYWFh2NnZERUVxZEjR7CzsyMoKIhu3bqRlpbG/v37UUqRlZVF/fr1AXB3dyc8PJyioiIiIyMr5opydOTRRx8lODiY3Nxc9u/fT1JSEkajER8fH/r370+rVq2sfGSEEDWZ3KhbQ1X3YLFa/ay6MsloGZLRMiTj/auxN+oKIYR4OEmBEkIIoUlSoIQQQmiS5jtJ/FYmk3ooJvMrMRhxtLOxdgwhhKg2te4Mqrz83ibrsyZL3MktxUkIUdvVugIlhBCidpACJYQQQpNqXYG6NXiqEEKImk0KlBBCCE2qdb347iQ9PZ3o6GhMJhN9+/alWbNmd103Pj6e06dP4+rqSmBgIB4eHua2H374gbNnz+Lu7k5gYKB5Mj6lFCdPniQhIYG6desSGBhonidJKcWxY8c4f/489erVIzAwsFpfqxBC1Bqqljl37pz5+9LSUjV+/HhlY2OjAAUonU6nRowYoQoKCqpsl56ergYMGGBeD1AuLi5q0aJF6vLly8rf379Km5ubm/rggw/UhQsXVM+ePau0eXh4qFWrVqmEhATVpUuXKm316tVT77333u99WH6zK1euWDvCr5KMliEZLUMy3r/Kf7crq3Uf8VU2Z84cVq9ezcSJE4mLiyMhIYFZs2axceNGJk+ebF5PKcXQoUM5efIkH3zwAUlJScTGxhIaGsqcOXNo3rw5CQkJLF++nIsXLxITE0O/fv2YNm0arVu35vLly6xatYrk5GQOHDhAr169ePnll3n00UfJyMhgzZo1JCcns3//fjp27MjMmTM5cOCA9Q6MEELUBA9a+fr376+ys7PNj48eParGjRunlFJq8+bNqk2bNioxMdHcPmjQIJWWlnbbtmfPnlX9+/dXCQkJD5TnViW+fv26cnR0VH/+85+VUkpt3LhRrVmzRiml1PTp05Ver1eXLl1SSikVGRmpAPX5558rpZRauHChOnDggFJKmc+Ovv76a1VeXq7mz5+vjhw5ooxGo+rQoYMCVGRkpCorK1Nz585VJ06cUAaDQbVo0UIB6uDBg6q4uFjNmTNHxcXFqZKSEtW4cWPVv3//B3qd1U2r77Qqk4yWIRktQzLeP4ueQZWVlVFUVHRP63p7e/Pxxx//z3XOnz/Pq6++yrJly2jfvj03b97EZDLdTzSzI0eOUFJSwvjx4zGZTIwdO5bx48dTWFjIuHHjMJlMHDx4EIB9+/bh7OzMiBEjOHnyJG+88QZ/+ctfABg7diz16tVj2LBhHD58mPnz5/PGG2+g1+t56aWXaNy4MeHh4ezbt48FCxYwf/58bG1tGTNmDG3atCEgIICdO3eyaNEiFi5ciIODA6NGjeLgwYMYDNq/qVgIIazlNxWo5ORkFi9eTGhoKFeuXLmnbfr168fFixe5dOnOU2BcunSJiRMn8u6779KxY0cATp06RWhoKMuXL+fatWu/JaJZamoqAH5+fuTn51NQUIDRaCQzM5PmzZuj1+vN66SmptK0aVNsbW3N+7t69SoALVq0MHequLWscpufn1+VZbe2/7U2k8lkXi6EEOJ2v1qgioqK2Lx5M88//zxvvvkmLVq0YPv27bRv3/7edvDvM41PPvnkju2vvPIK8+bNo3v37uZl/fr146uvvsLNzY2XX36ZF198kd27d1NWVnaPLwvs7OyAirO9yl3PbW1tMRgMmEwm/vrXv9KyZUs2b95sfm69Xm9eD6C0tNTcdut5/lfbra+/1lY5oxBCiNv9ajdzf39/2rRpwzvvvEOLFi3u6Ul1Ol2Vx4MHD2bVqlWkpaXdtm7v3r355ptv8Pf3r1JIPD09zdOSnz59mjlz5rBy5Up27Njxq/tPSUnBxcUFgISEBIKDg/Hx8eHmzZv4+Phw5swZANq3b0+XLl0oLi4mLS2N/Px82rRpA2D+mpCQwKVLlyguLjYva926tbntwoULGAyGO26XmJiIyWS6Y5u9vT1lZWUWGZevOhQUFGg22y2S0TIko2VIxmrwaxevoqOj1ZQpU1RYWJhavny5Sk9Pr9IeERGhLl++bH68Z88eNXv2bKVURSeJt956Syml1FdffaXmzp17WyeJrKwsNXHiRDV37tzb9p2UlKQWL16sgoKC1Jw5c9SZM2fu+WJbYWGheuSRR9SAAQOU0WhU8fHx6sSJE0oppYYOHaoA9Ze//EUppVR4eLgC1Lx585RSSn3//fcqNTVVFRQUKF9fXwWoJUuWKKWU2r17t7p69arKzc1V3t7eClArVqxQSim1c+dOlZmZqbKyslTdunWrdLzYtm2bysrKUteuXVOurq7q+eef/9XXYk1avZhamWS0DMloGZLx/t13Jwl/f3+WLVvGF198gZubG6+88gqjR48mPT0dgF69erFt2zYAjEYj27dvp1evXrc9T0REBLGxseTk5FRZrtPpWLp0KZcuXeLvf/87UHGG8dxzz/Hmm2/i5+fHli1bWLhwIZ06dbrnwuvs7MyCBQuIioqib9++xMbGEh8fT//+/fnuu+8AOHbsGIsXLyY5ORmABQsWMHz4cDIyMvj222/p0qUL6enp1K1blzlz5vDCCy+QnZ3Nl19+SdeuXcnOzsbd3Z2pU6cyatQocnNz+fzzz+natSuFhYW4ubkxfvx4xo4dS0FBAR9//DHdu3fHZDIxf/78e34tQgjxULqfahcXF6euXbumlFIqPz9fTZs2TQ0ZMkQNHjxYLVmyRBmNRqVU1TMopZRat26dat269R27mefn56unnnpKbdiwQV28eFFdvHjxfqLdVok///xz5efnZ75RtnHjxmrFihVq6dKlytnZWQGqfv366uuvv1Zz5sxRderUMa/bvXt3tXfvXlVYWKhmzJih3NzczG2PP/64OnDggMrPz1evvvqq+bkAFRAQoI4cOaJu3LihXn75ZeXk5GRuGzBggNqxY8d9vbbfk1bfaVUmGS1DMlqGZLx/dzuD0imllJVqY7VITEykXbt2VZaZTCZSUlIwmUzmHnwABoMBo9GInZ1dlQ4MKSkpuLq60rBhwyrPU1JSQkpKCu7u7vj4+FRpKy4uJjU1FQ8PD7y8vKq0FRUVkZqaSr169XjkkUdISUnB19fX0i/doiSjZUhGy5CMlqHVjHf6uw0PyVh8er2e5s2b37bczs7utp50Dg4O5k4Q/83R0dHc0eG/OTk53bXN2dmZtm3b/sbUQgjxcKvVQx0JIYSouaRACSGE0KRaV6CMRqO1IwghhLAAKVBCCCE0qdYVKCGEELWDFCghhBCaJAVKCCGEJkmBEkIIoUlSoIQQQmiSFCghhBCaJAVKCCGEJkmBEkIIoUlSoIQQQmhSrZtu48yZMzg4OFg7hhBCiHtUWlpK586db1te6wqUEEKI2kE+4hNCCKFJUqCEEEJokhQoIYQQmiQFSgghhCZJgRJCCKFJUqCEEEJoUo0qUIcOHSIkJISgoCBWr159W3tZWRlTp04lKCiIYcOGkZ6ebm775JNPCAoKIiQkhOjoaM1lPHz4MEOHDmXIkCEMHTqU2NhYzWW85dq1a3Tp0oXPPvtMkxnPnz/P8OHDGTRoEEOGDKG0tFRTGQ0GA7NmzWLIkCGEhYXxySefVEu+e8l44sQJIiIiaN++Pf/85z+rtG3ZsoXg4GCCg4PZsmWL5jImJiZW+X/etWuX5jLeUlBQQEBAAG+//bYmM167do0xY8YQFhZGeHj4bb/zVqNqiPLychUYGKhSU1NVaWmpGjJkiEpKSqqyzoYNG9TcuXOVUkrt3LlTTZkyRSmlVFJSkhoyZIgqLS1VqampKjAwUJWXl2sqY0JCgsrIyFBKKfXTTz8pf39/i+d70Iy3TJ48WU2ePFmtWbNGcxkNBoMaPHiwSkxMVEoplZOTo7n/6+3bt6upU6cqpZQqKipS/fv3V2lpaVbJmJaWphITE9XMmTPV7t27zctv3LihBgwYoG7cuKFyc3PVgAEDVG5urqYyXrp0SV2+fFkppVRGRobq27evysvL01TGWxYsWKCmTZum3nrrLYvns0TGESNGqJiYGKWUUgUFBaqoqKhacv5WNeYMKj4+Hl9fX5o0aYK9vT2DBg1i//79VdaJiooiIiICgJCQEGJjY1FKsX//fgYNGoS9vT1NmjTB19eX+Ph4TWVs3749Xl5eALRq1YrS0lLKyso0lRFg3759NGrUiFatWlk8myUyHj58mDZt2tC2bVsA6tati42NjaYy6nQ6iouLKS8vp6SkBDs7O1xdXa2SsXHjxrRt2xa9vuqfgpiYGPr27YuHhwd16tShb9++1fLJw4NkbN68Oc2nnwnjAAAEXklEQVSaNQPAy8sLT09PcnJyNJUR4McffyQ7O5u+fftaPJslMl68eJHy8nJzPhcXF5ycnKot629RYwpUZmYm3t7e5sdeXl5kZmbeto6Pjw8Atra2uLm5cePGjXva1toZK9uzZw/t27fH3t5eUxkLCwv59NNPmTRpksVzWSrj5cuX0el0vPjii0RERPDpp59qLmNISAhOTk74+/vTv39/xowZg4eHh1UyVse2v1fGyuLj4zEYDDRt2tSS8YAHy2gymViyZAmzZs2yeK7KHiTjlStXcHd3Z9KkSTzzzDMsWbIEo9FYXVF/E1trBxBVJSUl8f7777N27VprR7nNihUrGDVqFC4uLtaOcldGo5FTp07x7bff4uTkxOjRo+nQoQO9e/e2djSz+Ph49Ho90dHR5Ofn88c//pE+ffrQpEkTa0erka5fv87MmTNZsmTJHc9grOnLL78kICCgSvHQmvLyck6ePMnWrVvx8fHhtdde47vvvmPYsGHWjlZzCpSXlxcZGRnmx5mZmeaPxCqv8/PPP+Pt7U15eTk3b96kbt2697SttTMCZGRkMGnSJJYsWVIt7wQfNGNcXBx79uzh/fffJz8/H71ej4ODAyNGjNBMRm9vb3r06IGnpycAAQEBJCQkWLxAPUjG5cuX88QTT2BnZ0e9evXo2rUrZ8+etXiBepCfey8vL44fP15l2549e1o034NmhIrOB+PHj+e1116742CjlvAgGU+fPs2pU6fYuHEjhYWFGAwGnJ2dmTFjhmYyent7065dO/PPX2BgIHFxcRbNd7+09Xbjf3jssce4cuUKaWlplJWVERkZyYABA6qsM2DAAHNvoz179vD444+j0+kYMGAAkZGRlJWVkZaWxpUrV+jYsaOmMubn5zNu3DimT59Ot27dLJ7NEhm//PJLoqKiiIqKYtSoUYwfP97ixelBM/r7+3PhwgXzNZ4TJ07QsmVLTWX08fHh2LFjABQVFREXF4efn59VMt6Nv78/MTEx5OXlkZeXR0xMDP7+/prKWFZWxsSJE3n66acJDQ21eDZLZFy6dCkHDhwgKiqKWbNm8cwzz1i8OD1oxscee4z8/Hzz9btjx45Vy+/MfbFqF43f6MCBAyo4OFgFBgaqlStXKqWUWrZsmdq3b59SSqmSkhI1efJkNXDgQPXss8+q1NRU87YrV65UgYGBKjg4WB04cEBzGT/66CPVqVMn9dRTT5n/ZWVlaSpjZR9++GG19eJ70Ixbt25V4eHhatCgQWrJkiWay1hQUKAmT56swsPDVVhYmPr000+tljEuLk498cQTqlOnTqpnz54qPDzcvO0333yjBg4cqAYOHKi+/fZbzWXcunWrat++fZXfmXPnzmkqY2WbN2+utl58D5oxJiZGDR48WA0ePFjNmjVLlZaWVlvO30Km2xBCCKFJNeYjPiGEEA8XKVBCCCE0SQqUEEIITZICJYQQQpOkQAkhhNAkKVBCCCE0SQqUEEIITfr/i/Xml8HpT94AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xxx8TGBhIjx49pDRQCpm5loGmaVSvXp0bN26Qnp5OVFQUGzZs4IEHHmDKlCn4+/uX6Y9Np9NRu3ZtfH19mTt3Lvn5+aYZ7I8//khSUpLVsZYk6G7dujFs2DD27Nljk5nG2LFjGTduHABDhgzh+vXrVl00q1atmmlpmlIKb29v6tSpg6+vL1999RVLly4lLy+vzOP269ePbt26cfjwYfLy8li0aBFPPfUUGRkZVq8zbt++PUFBQcTHx3P06FGqVatG//79SU9P59y5c1aN2bJlS6ZNm8bp06e5fPkyAE2bNsVoNHL16lWrxgwLC2PlypU8+uijpm8EnTp14saNG/z+++9WjQnFiTs5OZm1a9eyZs0aXnjhBVJTU1mzZo3VY1YFss61jC5evGj6Kjx69Gg6d+5sk3aB9erVY+7cubz11luEhYVhNBpZvXq1DSKGBx54gE8++YTRo0eXa5cD9V9bz2zfvp2MjAzTZovWcnd3x93dnUaNGrF48WL2799PTEwMNWvWLPNY3t7eDBgwgH79+pn+A7Np06Zy9XLw8PCgf//+aJrGhx9+yMWLF6lRowYZGRnluo25W7duREdH884779C4cWMAzp49y5gxY6wes06dOnTs2JFt27ZRvXp18vPzuXz5crkumul0Ovz9/XnvvfeYNWsWwcHBHDp0qMyz6yrHYdXeSiwnJ0fl5ube8pzRaLTJ2CtXrlSdO3dW586ds8l4JaKjo1VKSopNxsrPz1dr165Vffv2NV1AKQ+j0ajy8/NVr169VPfu3VVycnL5g/w/cXFxqk+fPjb5febn56uDBw+qiRMnqmnTppkuxpXXDz/8oBYvXqxiYmJsEmdWVpZatWqVGj58uHruuefUTz/9VO4xr1y5or7//nvT45ILu+LupHGLE8nKymLixIlMmzbNtFFheSk7bHRYWFjIgQMHaNq0KQEBATYbd8OGDbRp04b777/fZmP+/vvvFBUV2XSWZTAY0DTN6bualZRBbHlnoD3+nlyVJFcnU5W3e5F/uMKVSHIVQgg7cO7vNUIIUUlJchVCOL38/Hyys7MdHUaZVOmlWIkJ35F5pex3wwghblWvcR269epqt/EvJ8WSW9Cch9qElms5YUWq0sk180oWy0eucnQYQlR6L64aabexb968SZHRG5331+iT9tC4xd/t9l62JGUBIYRTu5K8An/vjfjW2sO1vMdt3p7TXiS5CiGcVsms1dvjJ9y0IhrUTkCf9Jqjw7KIJFchhNMqmbWWqEyzV0muQgin9OdZa4nKNHuV5CqEcEr/PWstUVlmrw5LrsHBwbe0Vjt8+DB//etfAUxt/P7czq1fv36m1mx//tkffviB4OBgzp49W4HRCyHs6U6z1hKVZfZaocm1oKDA4o7o/v7+fPDBB6Wec+7cOaKjo1m6dCkPPfQQOTk50hldCBdwt1lricowe62Q5JqUlMSbb75JWFgYly5dsuhnevTowYULF7h48eIdX7948SLjx4/nH//4Bw8//DAAx48fJywsjHfeeYcrV67YKnwhRAXKy8ujyOhzx1lrCTetiPq1Ekxb+jgjuyXX3Nxc1q9fz9NPP83MmTMJDAzkq6++MnVINxuYmxujR4/mww8/vOPr48aNY9asWbRv3970XI8ePVizZg3e3t6MHTuW559/nm+++cam2zYLIeyroKCAWtWTzZ5Xq8ZF8vPzKyAi69jtDq2goCBatmzJ/PnzCQwMtOhn/rvdXL9+/Xj//fdJSUm57dxOnToRFxdHUFDQLbfD+fr6EhUVRVRUFCdPnuS1117jvffe4+uvvy7fBxJCVBiFwkjpJT6Fczf0s9vMddmyZeh0OiZMmMDy5ctv28Onbt26tzRiyMrKum3Pend3d5577jk++uij28afNWsWAHPnzr3ttQsXLvD3v/+dadOm8T//8z/Mnz/fFh9JCFFBlAKDMpo9nJndkmtQUBBLly7l888/x9vbm3HjxhEVFWW64t+hQwfi4+OB4s7uX331FR06dLhtnMGDB3Pw4MHbNm3TNI3Fixdz8eJF3n77baB4U79hw4Yxc+ZMAgIC2LhxIwsWLKBt27b2+phCCDswYqQIQ6mHwczM1tHs3rilXr16jBw5kpEjR3LmzBnTV/hx48YxZ84cBgwYgFKKrl27MmDAgNt+vkaNGowYMYIFCxbc9pqHhwfvv/8+zzzzDA0aNKBjx47ExMRYXIYQQjgnI2Aw08ffqBQ48cYVVXongvhPN0tXLCFs4MVVIxk4op9NxsrOzib9yj9o4FP6v828gubka5847S60VbrloBDCOSnAYOaCldHJL2hJchVCOB2jUhSauWBVJMlVCCHKRoHZy1VGnLrkKslVCOF8FMqisoAzb/giydXGtl85ZfMxezduZ/MxhXBmxasFzJyjoJoTT10luQohnI4RjUIzX/oNaFSvoHisIclVCOF0FMUz09KYe93RJLkKIZxO8VKs0meuzn1/liRXIYQTMigNVOl35yszrzuaJFchhNNRaGZnrsqpF2JJchVCOCGFhtFsXylJrkIIUSbFF7TMJE9zrzuYcxctyuHVV1+lU6dO9Otnm2YSQoiKY1AaBapaqUeRU99C4MLJdciQIaxYscLRYQghrFBSFij9kJmrQzz22GPUqVPH0WEIIaxQckGrtMOS5Hqnb7DXrl1j1KhRhIaGMmrUKLKysorfUynmz59PSEgI/fv358cffzT9zMaNGwkNDSU0NJSNG+++K+2fuWxyFUJUXgY0ClW1Uo8iC5Zi3ekbbGxsLJ06dWLHjh106tSJ2NhYABITE7l06RI7duxg3rx5zJkzByhOxsuXL2ft2rXExcWxfPlyU0IujSRXIYTTKZ65upk9zLnTN9iEhAQGDRoEwKBBg9i1a9ctz2uaRrt27Yqbdqens2/fPrp06ULdunWpU6cOXbp04bvvvjP73rJaQAjhdJTSMJiZmbopN5KSkpg0aZLpucjISCIjI0v9uYyMDPz8/ABo2LAhGRkZAOj1evz9/U3n+fv7o9frb3tep9Oh1+vNfgZJrkIIp2PJOlcjGoGBgWzYsMHq99E0DU2zz4Uxly0LTJ48maeeeork5GS6detGXFyco0MSQljIgAVLsay8/bV+/fqkp6cDkJ6ejq+vL1A8I01LSzOdl5aWhk6nu+15vV6PTqcz+z4um1yXLFnCvn37+PHHH0lMTCQiIsLRIQkhLKSUhlG5mT2sERwczKZNmwDYtGkTvXr1uuV5pRSnTp3C29sbPz8/goKC2LdvH1lZWWRlZbFv3z6CgoLMvo+UBYQQTqfkglZpzN8eW/wN9siRI2RmZtKtWzcmTJjAmDFjmDhxIuvWraNx48YsXboUgO7du7N3715CQkLw9PRk4cKFANStW5dx48YxdOhQAMaPH0/dunXNvrckVyGE0zGiFXfGKoXBgnGWLFlyx+dXrbp9225N05g9e/Ydzx86dKgpuVpKkqsQwukYlUahKj09uZt53dGcOzohRJWkLLgDy8k3IpDkamv22EzwlaTvbT4mwD8C29hlXCHKS2F+nau51x1NkqsQwukY/+/219JYuxSrokhyFUI4HaONVgs4kiRXIYTTKVnnWhpr17lWFEmuQginI7u/CiGEHRhxM19zdfKdCCS5CiGcjmVlAefeiUCSqxDC6RgtWIolNVcHuXjx4i19HlNSUoiOjiYqKspxQQkhLKLA7E0Ezr6Hlssm14CAAOLj4wEwGAx069aNkJAQB0clhLCEUWkUGkuvqRqMMnN1uIMHD9K0aVOaNGni6FCEEBawpCuWJdu8OFKVSK5btmy5ZfdHIYRzK76gVbl7Czh36reBgoICdu/eTVhYmKNDEUJYyGjR7q+yFMuhEhMTadWqFQ0aNHB0KEIIC1kyc5WlWA62ZcsWwsPDHR2GEKIMFJV/natLlwVyc3M5cOAAoaGhjg5FCFEGRopvfy3tkKVYDlSrVi0OHz7s6DCEEGWklGa2piqrBYQQoows2YlAZq5CCFFGRjC7QaEkVyGEKCOLGrdIWUAIIcpGoZndxsVcv1dHk+QqhHA6Ft2hpUlyFeVkr11ax//ys83HfPf+FjYfU1Q9CvMtBaXmKoQQZWRUlpQFpOYqhBBlUnyHVuVeLeDcqV8IUSUpVTx7Le1QFt7++sknnxAeHk6/fv2YPHky+fn5pKSkEBERQUhICBMnTqSgoAAobvQ0ceJEQkJCiIiI4PLly1Z/BkmuQginUzJzLfWwYBy9Xs/q1atZv349mzdvxmAwsGXLFhYtWkRUVBQ7d+7Ex8eHdevWARAXF4ePjw87d+4kKiqKRYsWWf0ZJLkKIZxOSc21tMPcHlslDAYDeXl5FBUVkZeXR8OGDTl06BC9e/cGYPDgwSQkJACwe/duBg8eDEDv3r05ePAgSlnXOVZqrkIIp1O8WsB8y8GkpKRb9sqLjIwkMjLS9Fin0/Hcc8/Rs2dPPDw86NKlC61atcLHxwd39+L05+/vj16vB4pnuo0aNQLA3d0db29vMjMz8fX1LfNncNnkmp+fz/DhwykoKMBgMNC7d2+io6MdHZYQwgKWXNBSSiMwMJANGzbc9ZysrCwSEhJISEjA29ubl156ie+++87W4d6RyybXGjVqsGrVKmrXrk1hYSF/+ctf6NatG+3atXN0aEIIc5QlM1fzwxw4cIB77rnHNPMMDQ3lxIkTZGdnU1RUhLu7O2lpaeh0OqB4ppuamoq/vz9FRUXk5ORQr149qz6Cy9ZcNU2jdu3aABQVFVFUVITm5Hd0CCGKGZWGwehW6mHuJgOAxo0bc/r0aW7evIlSioMHD9K8eXM6dOjA9u3bAdi4cSPBwcEABAcHs3HjRgC2b99Ox44drc4bLptcobiQPXDgQDp37kznzp1p27ato0MSQlhAUbyO1dxhTtu2benduzeDBw+mf//+GI1GIiMjmTp1KitXriQkJIRr164REREBwNChQ7l27RohISGsXLmSKVOmWP0ZXLYsAFCtWjXi4+PJzs5m/Pjx/Pzzz7RoIbdnCuHsLK25WiI6Ovq26y1NmzY1Lb/6Mw8PD5YtW2Z5oKVw6ZlrCR8fHzp06FBhhWwhRPkoC8oCBqNzl/lcNrlevXqV7OxsAPLy8jhw4AABAQEOjkoIYRFVnGBLPZz89leXLQukp6czffp0DAYDSinCwsLo2bOno8MSQljAlmUBR3HZ5PrAAw+wadMmR4chhLCCUsWHuXOc2V2T6yOPPGJaglBy+5emaSil0DSNEydOVEyEQogqR6GZvb3V3MzW0e6aXE+ePFmRcQghhImlt786M4suaB07doz169cDxReKUlJS7BqUEKJqKykLlHo4OkgzzCbX5cuXs2LFCmJjYwEoLCxk6tSpdg9MCFG1mVstQGWfue7cuZP3338fT09PoPje2xs3btg9MCFE1eUK61zNrhaoXr06mqaZLm7l5ubaPSjxX+zUE8Eemwm+mnTG5mPGBD5s8zGFc7NotUDFhGI1s8m1T58+zJo1i+zsbNauXcv69esZNmxYRcQmhKiyLNjGxcnLAmaT6/PPP8/+/fupXbs2ycnJREdH06VLl4qITQhRRSmLWg5W8uQK0KJFC/Ly8tA0TRqfCCHsTlkwc3X2O7TMXtCKi4sjIiKCnTt3sn37diIjI+/YTUYIIWxGWXg4MbMz1xUrVrBx40ZTN+7MzEyeeuophg4davfghBBVl9mZa2Vv3FKvXj1TR3+A2rVrW73tgRBCWEIpDaOZpVbKkr21HeiuyXXlypUA3HvvvQwbNoxevXqhaRoJCQm0bNmywgIUQlRRrrpaoORGgXvvvZd7773X9HyvXr3sH1U5paam8sorr5CRkYGmaQwbNoyRI0c6OiwhhKVcuSvWiy++WJFx2FS1atWYPn06rVq14vr16zz55JN06dKF5s2bOzo0IYSlnDx5mmO25nr16lU++ugjLly4QH5+vun51atX2zWw8vDz88PPzw8ALy8vAgIC0Ov1klyFqCSU0lBma67OXRYwuxRrypQpBAQEcPnyZV588UWaNGlCmzZtKiI2m7h8+TI//fST7PwqRGViyTYvTl5zNZtcS7addXd35/HHHycmJoZDhw5VRGzlduPGDaKjo3nttdfw8vJydMKnu6EAABEsSURBVDhCiLJw9XWu7u7Fp/j5+bFnzx78/PzIysqye2DlVVhYSHR0NP379yc0NNTR4QghykJhwWoA5565mk2uY8eOJScnh2nTpjFv3jxu3LjBq6++WhGxWU0pxYwZMwgICGDUqFGODkcIYQ1zM9PKPnMt2THV29ubTz/91O4B2cLx48eJj4+nRYsWDBw4EIDJkyfTvXt3B0cmhLCMBc2wK2tynTdvnqmH653MnDnTLgHZQvv27Tl//ryjwxBCWMmSfq6VNrm2bt26IuMQQoj/UIC5pVYWrhbIzs5m5syZ/Pzzz2iaxsKFC7nvvvuYNGkSv//+O02aNGHp0qXUqVMHpRQLFixg79691KxZkzfffJNWrVpZ9RHumlwHDx5s1YBCCFFeGqDZaOa6YMECunbtyrJlyygoKCAvL48PPviATp06MWbMGGJjY4mNjWXq1KkkJiZy6dIlduzYwenTp5kzZw5xcXFWfQaLdn8VQogKZaOWgzk5ORw9etTUxa9GjRr4+PiQkJDAoEGDABg0aBC7du0CMD2vaRrt2rUjOzub9PR0qz6CRc2yhRCiYllyQUsjKSmJSZMmmZ6KjIwkMjLS9Pjy5cv4+vry6quvcu7cOVq1asWMGTPIyMgw3cXZsGFDMjIyANDr9fj7+5t+3t/fH71ebzq3LCS52pqdNhOsLOyxmeCz51NsPubqlk1tPmalYuu/U1v/2SvAXEtBBYGBgWzYsOGupxQVFXH27Flef/112rZty/z584mNjb3lnD9vwGpLLrlaQAhRyVnytd+CsoC/vz/+/v6m29/DwsKIjY2lfv36pKen4+fnR3p6Or6+vgDodDrS0tJMP5+WloZOp7PqI8hqASGEc7JBP9eGDRvi7+/PxYsXCQgI4ODBgwQGBhIYGMimTZsYM2YMmzZtMrVSDQ4O5rPPPiM8PJzTp0/j7e1tVUkAZLWAEMIZKdDMlAXMrib4P6+//jpTpkyhsLCQpk2bEhMTg9FoZOLEiaxbt47GjRuzdOlSALp3787evXsJCQnB09OThQsXWv0RXLLloBBClHjwwQfvWJddtWrVbc9pmsbs2bNt8r4u33JQCFH5lKxzNXc4M5duOSiEqKSUZtnhxFy25aAQohKzZClWZd39tURlbDkIxfWUuLg4lFJEREQQFRXl6JCEEGVg7mu/c89bXbTl4M8//0xcXBxxcXFUr16d0aNH07NnT5o1a+bo0IQQlrDROldHMptc7zZLjYmJsXkwtpKUlMTDDz+Mp6cnAI899hg7duzghRdecHBkQgiLuXpy7dGjh+l/5+fns2vXLqsX1VaUFi1asHTpUjIzM6lZsyaJiYlyU4QQlYkCzUzLQXPrYB3NbHLt3bv3LY/79evHX/7yF7sFZAuBgYGMHj2a559/Hk9PTx544AHc3KQBmBCVRiXYgNCcMjduuXTpkqmDjDOLiIggIiICgCVLllh9f7AQouLZsp+ro5hNro888sgtDVwaNmzIlClT7BqULWRkZFC/fn2uXLnCjh07WLt2raNDEkJYypLbXyt7WeDkyZMVEYfNTZgwgWvXruHu7s7s2bPx8fFxdEhCiLJw9ZnryJEjb7sH907POZt///vfjg5BCGEtV6655ufnc/PmTTIzM8nKykL931aM169fR6/XV1iAQoiqx5Kaq7P3Frhrcl2zZg2rVq0iPT2dIUOGmJKrl5cXzzzzTIUFKISoglz5JoKRI0cycuRIPv30U0aMGFGRMQkhRKWfuZpd/Onm5kZ2drbpcVZWFp9//rldgxJCVHE22v3Vkcxe0Fq7di3Dhw83Pa5Tpw5xcXG3PCf+RDn5/+OVkD02Exx+7rLNx/z8gXtsPqbd2Prv1B5/9pX8n5LZ5Go0GlFKmda6GgwGCgsL7R6YEKLq0qrCOtegoCAmTpzIU089BRRf6OratavdAxNCVG0uf4fW1KlT+fLLL/niiy8A6Ny5M8OGDbN7YEKIKqwS1FTNseiC1tNPP82yZctYtmwZzZs3Z968eRURmxCiiiopC5g7nJlFjVvOnj3L5s2b2bZtG02aNCE0NNTecQkhqjpXLQskJyezZcsWNm/eTL169ejbty9KqUqzG4EQohJz5ZsI+vTpQ/v27fnwww9N26N88sknFRWXEKKKq+x7aN215rp8+XIaNmzIs88+y8yZMzl48KDpFtjKIDExkd69exMSEkJsbKyjwxFClIFL11yfeOIJnnjiCXJzc0lISGDVqlVcvXqV2bNnExISQlBQUEXGWSYGg4E33niDlStXotPpGDp0KMHBwTRv3tzRoQkhLOECZQGzqwVq1apF//79+eCDD9i7dy8PPfQQH330UUXEZrUzZ87QrFkzmjZtSo0aNQgPDychIcHRYQkhyqKS3/5apo2l6tSpQ2RkpNP3ctXr9fj7+5se63Q6aZMoRCWjKTNHGcYyGAwMGjSIv/71rwCkpKQQERFBSEgIEydOpKCgAICCggImTpxISEgIERERXL5s/W3SsmufEML5mEusZZy5rl69msDAQNPjRYsWERUVxc6dO/Hx8WHdunUAxMXF4ePjw86dO4mKimLRokVWfwSXTK46nY60tDTTY71eLxsUClHZ2KgskJaWxp49exg6dGjxsEpx6NAh087WgwcPNpUNd+/ezeDBg4Hina/LcyHfJZNrmzZtuHTpEikpKRQUFLBlyxaCg4MdHZYQwlIWthxMSkpiyJAhpuPLL7+8baiFCxcydepU3NyK011mZiY+Pj64uxdfz/f39zeVDfV6PY0aNQLA3d0db29vMjMzrfoIZd5auzJwd3dn1qxZjB49GoPBwJNPPsn999/v6LCEEBayqCuWgsDAQDZs2HDXc7799lt8fX1p3bo1hw8ftnGUpXPJ5ArQvXt3unfv7ugwhBBWssVOBCdOnGD37t0kJiaSn5/P9evXWbBgAdnZ2RQVFeHu7k5aWpqpbKjT6UhNTcXf35+ioiJycnKoV6+eVfG7ZFlACFHJ2WgngpdffpnExER2797NkiVL6NixI4sXL6ZDhw5s374dgI0bN5rKhsHBwWzcuBGA7du307FjR1Mv67KS5CqEcDolu7+aXTFgpalTp7Jy5UpCQkK4du0aERERAAwdOpRr164REhLCypUrmTJlitXv4bJlASFEJaYAc7e3ljG5dujQgQ4dOgDQtGlT0/KrP/Pw8GDZsmVlG/guJLkKIZySy+9EIIQrssdmgoPP/mHzMQE2PtTQLuM6NRfoLSDJVQjhdIqXYpWePctTc60IklyFEE7JFkuxHEmSqxDC+UhZQAghbK9kKVap50hyFUKIMrLw9ldnJslVCOF8pCwghBC2Z0lZwNmTq8ve/pqdnU10dDRhYWH06dOHkydPOjokIYTFFCgLDifmsjPXBQsW0LVrV5YtW0ZBQQF5eXmODkkIYSkXqLm65Mw1JyeHo0ePmjqP16hRAx8fHwdHJYSwmAtsre2SyfXy5cv4+vry6quvMmjQIGbMmEFubq6jwxJCWMpGLQcdySWTa1FREWfPnuXpp59m06ZNeHp6Ehsb6+iwhBAWKrn9tdTDyWuuLplc/f398ff3p23btgCEhYVx9uxZB0clhCgLe/ZzrQgumVwbNmyIv78/Fy9eBODgwYO3bKsrhHByLlAWcNnVAq+//jpTpkyhsLCQpk2bEhMT4+iQhBAWcoV1ri6bXB988MFSd4UUQjgxpSxoOejc2dVlk6sQopKTmasQQtiWJResnP2CliRXIYTzUYCZsoDZ1x1MkqsQwvm4wO2vklyFEE7IgsYsklyFqBrstUvrsJ/SbD7m2gf9bT6mLUnNVQgh7MGC3V+l5aAQQljDXNcr6YolhBBlU1wWUGYPc1JTUxkxYgR9+/YlPDycVatWAXDt2jVGjRpFaGgoo0aNIisrCwClFPPnzyckJIT+/fvz448/Wv0ZJLkKIZyTDfoKVKtWjenTp7N161a+/PJL/v3vf3PhwgViY2Pp1KkTO3bsoFOnTqaueYmJiVy6dIkdO3Ywb9485syZY3X4klyFEM5HmWk3aDR/eyyAn58frVq1AsDLy4uAgAD0ej0JCQkMGjQIgEGDBrFr1y4A0/OaptGuXTuys7NJT0+36iNIzVUI4XwUFizFUiQlJTFp0iTTU5GRkURGRt7x9MuXL/PTTz/Rtm1bMjIy8PPzA4q76GVkZACg1+vx9//PSgp/f3/0er3p3LJw2eT6ySefEBcXh6ZptGjRgpiYGDw8PBwdlhDCEhbeRBAYGGhRg6YbN24QHR3Na6+9hpeX163jaBqappUn2jtyybKAXq9n9erVrF+/ns2bN2MwGNiyZYujwxJCWMyS3V8tG6mwsJDo6Gj69+9PaGgoAPXr1zd93U9PT8fX1xcAnU5HWtp/1hWnpaWh0+ms+gQumVwBDAYDeXl5FBUVkZeXZ9W0XgjhGBZt82JBzVUpxYwZMwgICGDUqFGm54ODg9m0aRMAmzZtolevXrc8r5Ti1KlTeHt7W507XLIsoNPpeO655+jZsyceHh506dKFoKAgR4clhLCYJbe/mk+ux48fJz4+nhYtWjBw4EAAJk+ezJgxY5g4cSLr1q2jcePGLF26FIDu3buzd+9eQkJC8PT0ZOHChVZ/ApdMrllZWSQkJJCQkIC3tzcvvfQS8fHxpl+uEMLJKczfJGBBWaB9+/acP3/+jq+VrHn9M03TmD17tvmBLeCSZYEDBw5wzz334OvrS/Xq1QkNDeXkyZOODksIYSml0IzGUg+Mzn2Llksm18aNG3P69Glu3ryJUko2KBSisilZimWDC1qO4pJlgbZt29K7d28GDx6Mu7s7Dz744F3XvgkhnJCNygKO5JLJFSA6Opro6GhHhyGEsIKG+d4BskGhEEKUlcJ8TVU5d81VkqsQwgnJTgRCCGF7ltRcnXviKslVCOGElPmaqtRchRCirJQCg5mpqZOvc5XkKoSTs8dmgs+eT7HpePWvF9h0PNNaVnPnODFJrkII5yQXtIQQwsakLCCEEHaglPl1rLLOVQghrCBlASGEsDGlwFwzbLmgJYQQZaSU+Zqqk9dcXbLlYAmDwcCgQYP461//6uhQhBBlYVHLQeeeubp0cl29erX0cRWiMiqZuZZ2SHJ1jLS0NPbs2cPQoUMdHYoQosws2f3VuZOry9ZcFy5cyNSpU7lx44ajQxFClJULrHN1yZnrt99+i6+vL61bt3Z0KEIIayhQymjmkJlrhTtx4gS7d+8mMTGR/Px8rl+/zpQpU1i0aJGjQxNCWMKSpVjmXncwl0yuL7/8Mi+//DIAhw8f5l//+pckViEqE6XAYCj9HCcvC7hkchVCVHLSFcv5dejQgQ4dOjg6DCFEGSilUGZmpkp6CwghhBWkt4AQQtiYJTVXc687mEsuxRJCVHJKoYylH5bWXBMTE+nduzchISHExsbaOfD/kOQqhHA+Jf1cSz3MJ1eDwcAbb7zBihUr2LJlC5s3b+bChQsV8AGkLCCEcDKapnF/h/+HR22PUs/z8q2FpmmlnnPmzBmaNWtG06ZNAQgPDychIYHmzZvbLN67qdLJtVmbe1j24xuODkOIildk2+HytXybjeXl5UXwgO6o/uZnplu3bmXixImmx5GRkURGRpoe6/V6/P3/s8GjTqfjzJkzNou1NFU6ubZr187RIQgh/oumadSqVcuicyMiIoiIiLBzRNaRmqsQwmXpdDrS0tJMj/V6PTqdrkLeW5KrEMJltWnThkuXLpGSkkJBQQFbtmwhODi4Qt67SpcFhBCuzd3dnVmzZjF69GgMBgNPPvkk999/f4W8t6acvW+XEEJUQlIWEEIIO5DkKoQQdiDJVQgh7ECSqxBC2IEkVyGEsANJrkIIYQeSXIUQwg7+P3JG+n7HvBQZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Confustion matrix by model\n",
    "confusion_matrix(\n",
    "  test_stats_list,\n",
    "  train_metadata_json,\n",
    "  'label',\n",
    "  [10,10,10],\n",
    "  False,\n",
    "  model_names=models_list,\n",
    "  output_directory='./viz2',\n",
    "  file_format='png'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
